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Finding the Fourth Proportional to 135.87, 202.71 and 129.86

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Solution

The fourth proportional to 135.87, 202.71 and 129.86 is: 193.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.87 : 202.71 = 129.86 : x
  2. Step 2: Convert to fraction form
    135.87/202.71 = 129.86/x
  3. Step 3: Cross multiply
    135.87x = 202.71 × 129.86
  4. Step 4: Simplify right side
    135.87x = 26,323.92
  5. Step 5: Solve for x
    x = 26,323.92/135.87
  6. Step 6: Final answer
    x = 193.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.