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Finding the Fourth Proportional to 117.71, 177.47 and 109.88

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Solution

The fourth proportional to 117.71, 177.47 and 109.88 is: 165.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.71 : 177.47 = 109.88 : x
  2. Step 2: Convert to fraction form
    117.71/177.47 = 109.88/x
  3. Step 3: Cross multiply
    117.71x = 177.47 × 109.88
  4. Step 4: Simplify right side
    117.71x = 19,500.40
  5. Step 5: Solve for x
    x = 19,500.40/117.71
  6. Step 6: Final answer
    x = 165.66

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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.