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Finding the Fourth Proportional to 135.59, 187.17 and 106.16

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Solution

The fourth proportional to 135.59, 187.17 and 106.16 is: 146.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.59 : 187.17 = 106.16 : x
  2. Step 2: Convert to fraction form
    135.59/187.17 = 106.16/x
  3. Step 3: Cross multiply
    135.59x = 187.17 × 106.16
  4. Step 4: Simplify right side
    135.59x = 19,869.76
  5. Step 5: Solve for x
    x = 19,869.76/135.59
  6. Step 6: Final answer
    x = 146.55

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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.