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Finding the Fourth Proportional to 131.38, 196.46 and 117.02

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Solution

The fourth proportional to 131.38, 196.46 and 117.02 is: 174.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.38 : 196.46 = 117.02 : x
  2. Step 2: Convert to fraction form
    131.38/196.46 = 117.02/x
  3. Step 3: Cross multiply
    131.38x = 196.46 × 117.02
  4. Step 4: Simplify right side
    131.38x = 22,989.75
  5. Step 5: Solve for x
    x = 22,989.75/131.38
  6. Step 6: Final answer
    x = 174.99

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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.