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Finding the Fourth Proportional to 136.47, 203.69 and 132.22

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Solution

The fourth proportional to 136.47, 203.69 and 132.22 is: 197.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.47 : 203.69 = 132.22 : x
  2. Step 2: Convert to fraction form
    136.47/203.69 = 132.22/x
  3. Step 3: Cross multiply
    136.47x = 203.69 × 132.22
  4. Step 4: Simplify right side
    136.47x = 26,931.89
  5. Step 5: Solve for x
    x = 26,931.89/136.47
  6. Step 6: Final answer
    x = 197.35

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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.