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Finding the Fourth Proportional to 130.18, 179.67 and 116.44

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Solution

The fourth proportional to 130.18, 179.67 and 116.44 is: 160.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.18 : 179.67 = 116.44 : x
  2. Step 2: Convert to fraction form
    130.18/179.67 = 116.44/x
  3. Step 3: Cross multiply
    130.18x = 179.67 × 116.44
  4. Step 4: Simplify right side
    130.18x = 20,920.77
  5. Step 5: Solve for x
    x = 20,920.77/130.18
  6. Step 6: Final answer
    x = 160.71

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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.