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Finding the Fourth Proportional to 402.88, 604.32 and 392.08

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Solution

The fourth proportional to 402.88, 604.32 and 392.08 is: 588.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.88 : 604.32 = 392.08 : x
  2. Step 2: Convert to fraction form
    402.88/604.32 = 392.08/x
  3. Step 3: Cross multiply
    402.88x = 604.32 × 392.08
  4. Step 4: Simplify right side
    402.88x = 236,941.79
  5. Step 5: Solve for x
    x = 236,941.79/402.88
  6. Step 6: Final answer
    x = 588.12

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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.