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Finding the Fourth Proportional to 135.15, 202.64 and 99.11

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Solution

The fourth proportional to 135.15, 202.64 and 99.11 is: 148.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.15 : 202.64 = 99.11 : x
  2. Step 2: Convert to fraction form
    135.15/202.64 = 99.11/x
  3. Step 3: Cross multiply
    135.15x = 202.64 × 99.11
  4. Step 4: Simplify right side
    135.15x = 20,082.14
  5. Step 5: Solve for x
    x = 20,082.14/135.15
  6. Step 6: Final answer
    x = 148.59

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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.