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Finding the Fourth Proportional to 135.66, 187.18 and 98.83

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Solution

The fourth proportional to 135.66, 187.18 and 98.83 is: 136.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.66 : 187.18 = 98.83 : x
  2. Step 2: Convert to fraction form
    135.66/187.18 = 98.83/x
  3. Step 3: Cross multiply
    135.66x = 187.18 × 98.83
  4. Step 4: Simplify right side
    135.66x = 18,499.00
  5. Step 5: Solve for x
    x = 18,499.00/135.66
  6. Step 6: Final answer
    x = 136.36

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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.