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Finding the Fourth Proportional to 397.22, 592.47 and 385.07

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Solution

The fourth proportional to 397.22, 592.47 and 385.07 is: 574.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.22 : 592.47 = 385.07 : x
  2. Step 2: Convert to fraction form
    397.22/592.47 = 385.07/x
  3. Step 3: Cross multiply
    397.22x = 592.47 × 385.07
  4. Step 4: Simplify right side
    397.22x = 228,140.90
  5. Step 5: Solve for x
    x = 228,140.90/397.22
  6. Step 6: Final answer
    x = 574.35

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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.