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Finding the Fourth Proportional to 363.06, 500.42 and 257.81

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Solution

The fourth proportional to 363.06, 500.42 and 257.81 is: 355.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.06 : 500.42 = 257.81 : x
  2. Step 2: Convert to fraction form
    363.06/500.42 = 257.81/x
  3. Step 3: Cross multiply
    363.06x = 500.42 × 257.81
  4. Step 4: Simplify right side
    363.06x = 129,011.42
  5. Step 5: Solve for x
    x = 129,011.42/363.06
  6. Step 6: Final answer
    x = 355.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.