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Finding the Fourth Proportional to 117.20, 174.31 and 114.77

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Solution

The fourth proportional to 117.20, 174.31 and 114.77 is: 170.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.20 : 174.31 = 114.77 : x
  2. Step 2: Convert to fraction form
    117.20/174.31 = 114.77/x
  3. Step 3: Cross multiply
    117.20x = 174.31 × 114.77
  4. Step 4: Simplify right side
    117.20x = 20,004.69
  5. Step 5: Solve for x
    x = 20,004.69/117.20
  6. Step 6: Final answer
    x = 170.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.