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Finding the Fourth Proportional to 130.59, 180.61 and 116.76

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Solution

The fourth proportional to 130.59, 180.61 and 116.76 is: 161.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.59 : 180.61 = 116.76 : x
  2. Step 2: Convert to fraction form
    130.59/180.61 = 116.76/x
  3. Step 3: Cross multiply
    130.59x = 180.61 × 116.76
  4. Step 4: Simplify right side
    130.59x = 21,087.05
  5. Step 5: Solve for x
    x = 21,087.05/130.59
  6. Step 6: Final answer
    x = 161.47

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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.