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Finding the Fourth Proportional to 136.91, 205.25 and 59.88

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Solution

The fourth proportional to 136.91, 205.25 and 59.88 is: 89.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.91 : 205.25 = 59.88 : x
  2. Step 2: Convert to fraction form
    136.91/205.25 = 59.88/x
  3. Step 3: Cross multiply
    136.91x = 205.25 × 59.88
  4. Step 4: Simplify right side
    136.91x = 12,290.07
  5. Step 5: Solve for x
    x = 12,290.07/136.91
  6. Step 6: Final answer
    x = 89.77

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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.