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Finding the Fourth Proportional to 136.50, 204.64 and 97.96

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Solution

The fourth proportional to 136.50, 204.64 and 97.96 is: 146.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.50 : 204.64 = 97.96 : x
  2. Step 2: Convert to fraction form
    136.50/204.64 = 97.96/x
  3. Step 3: Cross multiply
    136.50x = 204.64 × 97.96
  4. Step 4: Simplify right side
    136.50x = 20,045.02
  5. Step 5: Solve for x
    x = 20,045.02/136.50
  6. Step 6: Final answer
    x = 146.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.