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Finding the Fourth Proportional to 117.80, 159.15 and 117.80

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Solution

The fourth proportional to 117.80, 159.15 and 117.80 is: 159.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.80 : 159.15 = 117.80 : x
  2. Step 2: Convert to fraction form
    117.80/159.15 = 117.80/x
  3. Step 3: Cross multiply
    117.80x = 159.15 × 117.80
  4. Step 4: Simplify right side
    117.80x = 18,747.87
  5. Step 5: Solve for x
    x = 18,747.87/117.80
  6. Step 6: Final answer
    x = 159.15

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.