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Finding the Fourth Proportional to 135.13, 202.56 and 101.11

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Solution

The fourth proportional to 135.13, 202.56 and 101.11 is: 151.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.13 : 202.56 = 101.11 : x
  2. Step 2: Convert to fraction form
    135.13/202.56 = 101.11/x
  3. Step 3: Cross multiply
    135.13x = 202.56 × 101.11
  4. Step 4: Simplify right side
    135.13x = 20,480.84
  5. Step 5: Solve for x
    x = 20,480.84/135.13
  6. Step 6: Final answer
    x = 151.56

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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.