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Finding the Fourth Proportional to 117.20, 160.78 and 108.02

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Solution

The fourth proportional to 117.20, 160.78 and 108.02 is: 148.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.20 : 160.78 = 108.02 : x
  2. Step 2: Convert to fraction form
    117.20/160.78 = 108.02/x
  3. Step 3: Cross multiply
    117.20x = 160.78 × 108.02
  4. Step 4: Simplify right side
    117.20x = 17,367.46
  5. Step 5: Solve for x
    x = 17,367.46/117.20
  6. Step 6: Final answer
    x = 148.19

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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.