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Finding the Fourth Proportional to 397.02, 591.92 and 392.22

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Solution

The fourth proportional to 397.02, 591.92 and 392.22 is: 584.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.02 : 591.92 = 392.22 : x
  2. Step 2: Convert to fraction form
    397.02/591.92 = 392.22/x
  3. Step 3: Cross multiply
    397.02x = 591.92 × 392.22
  4. Step 4: Simplify right side
    397.02x = 232,160.90
  5. Step 5: Solve for x
    x = 232,160.90/397.02
  6. Step 6: Final answer
    x = 584.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.