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Finding the Fourth Proportional to 135.72, 202.55 and 122.81

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Solution

The fourth proportional to 135.72, 202.55 and 122.81 is: 183.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.72 : 202.55 = 122.81 : x
  2. Step 2: Convert to fraction form
    135.72/202.55 = 122.81/x
  3. Step 3: Cross multiply
    135.72x = 202.55 × 122.81
  4. Step 4: Simplify right side
    135.72x = 24,874.46
  5. Step 5: Solve for x
    x = 24,874.46/135.72
  6. Step 6: Final answer
    x = 183.28

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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.