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Finding the Fourth Proportional to 117.60, 160.80 and 116.88

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Solution

The fourth proportional to 117.60, 160.80 and 116.88 is: 159.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.60 : 160.80 = 116.88 : x
  2. Step 2: Convert to fraction form
    117.60/160.80 = 116.88/x
  3. Step 3: Cross multiply
    117.60x = 160.80 × 116.88
  4. Step 4: Simplify right side
    117.60x = 18,794.30
  5. Step 5: Solve for x
    x = 18,794.30/117.60
  6. Step 6: Final answer
    x = 159.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.