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Finding the Fourth Proportional to 865.46, 1,298.19 and 232.25

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Solution

The fourth proportional to 865.46, 1,298.19 and 232.25 is: 348.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.46 : 1,298.19 = 232.25 : x
  2. Step 2: Convert to fraction form
    865.46/1,298.19 = 232.25/x
  3. Step 3: Cross multiply
    865.46x = 1,298.19 × 232.25
  4. Step 4: Simplify right side
    865.46x = 301,498.14
  5. Step 5: Solve for x
    x = 301,498.14/865.46
  6. Step 6: Final answer
    x = 348.37

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Double scale
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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.