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Finding the Fourth Proportional to 134.94, 202.80 and 117.90

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Solution

The fourth proportional to 134.94, 202.80 and 117.90 is: 177.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.94 : 202.80 = 117.90 : x
  2. Step 2: Convert to fraction form
    134.94/202.80 = 117.90/x
  3. Step 3: Cross multiply
    134.94x = 202.80 × 117.90
  4. Step 4: Simplify right side
    134.94x = 23,910.12
  5. Step 5: Solve for x
    x = 23,910.12/134.94
  6. Step 6: Final answer
    x = 177.19

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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.