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Finding the Fourth Proportional to 354.77, 531.59 and 238.78

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Solution

The fourth proportional to 354.77, 531.59 and 238.78 is: 357.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.77 : 531.59 = 238.78 : x
  2. Step 2: Convert to fraction form
    354.77/531.59 = 238.78/x
  3. Step 3: Cross multiply
    354.77x = 531.59 × 238.78
  4. Step 4: Simplify right side
    354.77x = 126,932.53
  5. Step 5: Solve for x
    x = 126,932.53/354.77
  6. Step 6: Final answer
    x = 357.79

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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.