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Finding the Fourth Proportional to 117.60, 177.09 and 87.38

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Solution

The fourth proportional to 117.60, 177.09 and 87.38 is: 131.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.60 : 177.09 = 87.38 : x
  2. Step 2: Convert to fraction form
    117.60/177.09 = 87.38/x
  3. Step 3: Cross multiply
    117.60x = 177.09 × 87.38
  4. Step 4: Simplify right side
    117.60x = 15,473.69
  5. Step 5: Solve for x
    x = 15,473.69/117.60
  6. Step 6: Final answer
    x = 131.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.