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Finding the Fourth Proportional to 130.88, 180.71 and 117.74

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Solution

The fourth proportional to 130.88, 180.71 and 117.74 is: 162.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.88 : 180.71 = 117.74 : x
  2. Step 2: Convert to fraction form
    130.88/180.71 = 117.74/x
  3. Step 3: Cross multiply
    130.88x = 180.71 × 117.74
  4. Step 4: Simplify right side
    130.88x = 21,275.30
  5. Step 5: Solve for x
    x = 21,275.30/130.88
  6. Step 6: Final answer
    x = 162.56

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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.