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Finding the Fourth Proportional to 531.20, 732.64 and 324.16

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Solution

The fourth proportional to 531.20, 732.64 and 324.16 is: 447.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.20 : 732.64 = 324.16 : x
  2. Step 2: Convert to fraction form
    531.20/732.64 = 324.16/x
  3. Step 3: Cross multiply
    531.20x = 732.64 × 324.16
  4. Step 4: Simplify right side
    531.20x = 237,492.58
  5. Step 5: Solve for x
    x = 237,492.58/531.20
  6. Step 6: Final answer
    x = 447.09

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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.