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Finding the Fourth Proportional to 135.10, 201.67 and 117.88

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Solution

The fourth proportional to 135.10, 201.67 and 117.88 is: 175.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.10 : 201.67 = 117.88 : x
  2. Step 2: Convert to fraction form
    135.10/201.67 = 117.88/x
  3. Step 3: Cross multiply
    135.10x = 201.67 × 117.88
  4. Step 4: Simplify right side
    135.10x = 23,772.86
  5. Step 5: Solve for x
    x = 23,772.86/135.10
  6. Step 6: Final answer
    x = 175.96

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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.