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Finding the Fourth Proportional to 531.33, 732.69 and 321.47

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Solution

The fourth proportional to 531.33, 732.69 and 321.47 is: 443.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.33 : 732.69 = 321.47 : x
  2. Step 2: Convert to fraction form
    531.33/732.69 = 321.47/x
  3. Step 3: Cross multiply
    531.33x = 732.69 × 321.47
  4. Step 4: Simplify right side
    531.33x = 235,534.19
  5. Step 5: Solve for x
    x = 235,534.19/531.33
  6. Step 6: Final answer
    x = 443.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.