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Finding the Fourth Proportional to 135.15, 202.35 and 89.35

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Solution

The fourth proportional to 135.15, 202.35 and 89.35 is: 133.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.15 : 202.35 = 89.35 : x
  2. Step 2: Convert to fraction form
    135.15/202.35 = 89.35/x
  3. Step 3: Cross multiply
    135.15x = 202.35 × 89.35
  4. Step 4: Simplify right side
    135.15x = 18,079.97
  5. Step 5: Solve for x
    x = 18,079.97/135.15
  6. Step 6: Final answer
    x = 133.78

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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.