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Finding the Fourth Proportional to 136.10, 203.27 and 117.88

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Solution

The fourth proportional to 136.10, 203.27 and 117.88 is: 176.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.10 : 203.27 = 117.88 : x
  2. Step 2: Convert to fraction form
    136.10/203.27 = 117.88/x
  3. Step 3: Cross multiply
    136.10x = 203.27 × 117.88
  4. Step 4: Simplify right side
    136.10x = 23,961.03
  5. Step 5: Solve for x
    x = 23,961.03/136.10
  6. Step 6: Final answer
    x = 176.05

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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.