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Finding the Fourth Proportional to 402.16, 549.88 and 387.04

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Solution

The fourth proportional to 402.16, 549.88 and 387.04 is: 529.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.16 : 549.88 = 387.04 : x
  2. Step 2: Convert to fraction form
    402.16/549.88 = 387.04/x
  3. Step 3: Cross multiply
    402.16x = 549.88 × 387.04
  4. Step 4: Simplify right side
    402.16x = 212,825.56
  5. Step 5: Solve for x
    x = 212,825.56/402.16
  6. Step 6: Final answer
    x = 529.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.