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Finding the Fourth Proportional to 136.42, 203.80 and 114.55

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Solution

The fourth proportional to 136.42, 203.80 and 114.55 is: 171.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.42 : 203.80 = 114.55 : x
  2. Step 2: Convert to fraction form
    136.42/203.80 = 114.55/x
  3. Step 3: Cross multiply
    136.42x = 203.80 × 114.55
  4. Step 4: Simplify right side
    136.42x = 23,345.29
  5. Step 5: Solve for x
    x = 23,345.29/136.42
  6. Step 6: Final answer
    x = 171.13

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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.