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Finding the Fourth Proportional to 118.24, 162.86 and 100.66

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Solution

The fourth proportional to 118.24, 162.86 and 100.66 is: 138.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.24 : 162.86 = 100.66 : x
  2. Step 2: Convert to fraction form
    118.24/162.86 = 100.66/x
  3. Step 3: Cross multiply
    118.24x = 162.86 × 100.66
  4. Step 4: Simplify right side
    118.24x = 16,393.49
  5. Step 5: Solve for x
    x = 16,393.49/118.24
  6. Step 6: Final answer
    x = 138.65

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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.