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Finding the Fourth Proportional to 134.20, 202.10 and 118.13

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Solution

The fourth proportional to 134.20, 202.10 and 118.13 is: 177.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.20 : 202.10 = 118.13 : x
  2. Step 2: Convert to fraction form
    134.20/202.10 = 118.13/x
  3. Step 3: Cross multiply
    134.20x = 202.10 × 118.13
  4. Step 4: Simplify right side
    134.20x = 23,873.36
  5. Step 5: Solve for x
    x = 23,873.36/134.20
  6. Step 6: Final answer
    x = 177.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.