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Finding the Fourth Proportional to 253.57, 380.39 and 91.30

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Solution

The fourth proportional to 253.57, 380.39 and 91.30 is: 136.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.57 : 380.39 = 91.30 : x
  2. Step 2: Convert to fraction form
    253.57/380.39 = 91.30/x
  3. Step 3: Cross multiply
    253.57x = 380.39 × 91.30
  4. Step 4: Simplify right side
    253.57x = 34,729.61
  5. Step 5: Solve for x
    x = 34,729.61/253.57
  6. Step 6: Final answer
    x = 136.96

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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.