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Finding the Fourth Proportional to 394.13, 593.50 and 292.13

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Solution

The fourth proportional to 394.13, 593.50 and 292.13 is: 439.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.13 : 593.50 = 292.13 : x
  2. Step 2: Convert to fraction form
    394.13/593.50 = 292.13/x
  3. Step 3: Cross multiply
    394.13x = 593.50 × 292.13
  4. Step 4: Simplify right side
    394.13x = 173,374.73
  5. Step 5: Solve for x
    x = 173,374.73/394.13
  6. Step 6: Final answer
    x = 439.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.