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Finding the Fourth Proportional to 117.38, 162.04 and 84.66

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Solution

The fourth proportional to 117.38, 162.04 and 84.66 is: 116.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.38 : 162.04 = 84.66 : x
  2. Step 2: Convert to fraction form
    117.38/162.04 = 84.66/x
  3. Step 3: Cross multiply
    117.38x = 162.04 × 84.66
  4. Step 4: Simplify right side
    117.38x = 13,718.31
  5. Step 5: Solve for x
    x = 13,718.31/117.38
  6. Step 6: Final answer
    x = 116.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.