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Finding the Fourth Proportional to 865.61, 1,298.41 and 216.35

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Solution

The fourth proportional to 865.61, 1,298.41 and 216.35 is: 324.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.61 : 1,298.41 = 216.35 : x
  2. Step 2: Convert to fraction form
    865.61/1,298.41 = 216.35/x
  3. Step 3: Cross multiply
    865.61x = 1,298.41 × 216.35
  4. Step 4: Simplify right side
    865.61x = 280,903.97
  5. Step 5: Solve for x
    x = 280,903.97/865.61
  6. Step 6: Final answer
    x = 324.51

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.