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Finding the Fourth Proportional to 131.54, 197.08 and 117.42

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Solution

The fourth proportional to 131.54, 197.08 and 117.42 is: 175.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.54 : 197.08 = 117.42 : x
  2. Step 2: Convert to fraction form
    131.54/197.08 = 117.42/x
  3. Step 3: Cross multiply
    131.54x = 197.08 × 117.42
  4. Step 4: Simplify right side
    131.54x = 23,141.13
  5. Step 5: Solve for x
    x = 23,141.13/131.54
  6. Step 6: Final answer
    x = 175.92

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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.