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Finding the Fourth Proportional to 131.18, 180.95 and 79.42

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Solution

The fourth proportional to 131.18, 180.95 and 79.42 is: 109.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.18 : 180.95 = 79.42 : x
  2. Step 2: Convert to fraction form
    131.18/180.95 = 79.42/x
  3. Step 3: Cross multiply
    131.18x = 180.95 × 79.42
  4. Step 4: Simplify right side
    131.18x = 14,371.05
  5. Step 5: Solve for x
    x = 14,371.05/131.18
  6. Step 6: Final answer
    x = 109.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.