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Finding the Fourth Proportional to 117.27, 174.80 and 111.18

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Solution

The fourth proportional to 117.27, 174.80 and 111.18 is: 165.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.27 : 174.80 = 111.18 : x
  2. Step 2: Convert to fraction form
    117.27/174.80 = 111.18/x
  3. Step 3: Cross multiply
    117.27x = 174.80 × 111.18
  4. Step 4: Simplify right side
    117.27x = 19,433.71
  5. Step 5: Solve for x
    x = 19,433.71/117.27
  6. Step 6: Final answer
    x = 165.72

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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.