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Finding the Fourth Proportional to 135.09, 202.55 and 86.22

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Solution

The fourth proportional to 135.09, 202.55 and 86.22 is: 129.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.09 : 202.55 = 86.22 : x
  2. Step 2: Convert to fraction form
    135.09/202.55 = 86.22/x
  3. Step 3: Cross multiply
    135.09x = 202.55 × 86.22
  4. Step 4: Simplify right side
    135.09x = 17,463.86
  5. Step 5: Solve for x
    x = 17,463.86/135.09
  6. Step 6: Final answer
    x = 129.28

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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.