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Finding the Fourth Proportional to 117.47, 176.14 and 45.27

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Solution

The fourth proportional to 117.47, 176.14 and 45.27 is: 67.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.47 : 176.14 = 45.27 : x
  2. Step 2: Convert to fraction form
    117.47/176.14 = 45.27/x
  3. Step 3: Cross multiply
    117.47x = 176.14 × 45.27
  4. Step 4: Simplify right side
    117.47x = 7,973.86
  5. Step 5: Solve for x
    x = 7,973.86/117.47
  6. Step 6: Final answer
    x = 67.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.