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Finding the Fourth Proportional to 865.65, 1,298.48 and 216.38

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Solution

The fourth proportional to 865.65, 1,298.48 and 216.38 is: 324.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.65 : 1,298.48 = 216.38 : x
  2. Step 2: Convert to fraction form
    865.65/1,298.48 = 216.38/x
  3. Step 3: Cross multiply
    865.65x = 1,298.48 × 216.38
  4. Step 4: Simplify right side
    865.65x = 280,965.10
  5. Step 5: Solve for x
    x = 280,965.10/865.65
  6. Step 6: Final answer
    x = 324.57

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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.