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Finding the Fourth Proportional to 134.80, 202.12 and 89.12

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Solution

The fourth proportional to 134.80, 202.12 and 89.12 is: 133.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.80 : 202.12 = 89.12 : x
  2. Step 2: Convert to fraction form
    134.80/202.12 = 89.12/x
  3. Step 3: Cross multiply
    134.80x = 202.12 × 89.12
  4. Step 4: Simplify right side
    134.80x = 18,012.93
  5. Step 5: Solve for x
    x = 18,012.93/134.80
  6. Step 6: Final answer
    x = 133.63

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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.