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Finding the Fourth Proportional to 402.93, 604.98 and 322.38

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Solution

The fourth proportional to 402.93, 604.98 and 322.38 is: 484.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.93 : 604.98 = 322.38 : x
  2. Step 2: Convert to fraction form
    402.93/604.98 = 322.38/x
  3. Step 3: Cross multiply
    402.93x = 604.98 × 322.38
  4. Step 4: Simplify right side
    402.93x = 195,033.45
  5. Step 5: Solve for x
    x = 195,033.45/402.93
  6. Step 6: Final answer
    x = 484.04

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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.