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Finding the Fourth Proportional to 118.55, 176.95 and 105.04

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Solution

The fourth proportional to 118.55, 176.95 and 105.04 is: 156.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.55 : 176.95 = 105.04 : x
  2. Step 2: Convert to fraction form
    118.55/176.95 = 105.04/x
  3. Step 3: Cross multiply
    118.55x = 176.95 × 105.04
  4. Step 4: Simplify right side
    118.55x = 18,586.83
  5. Step 5: Solve for x
    x = 18,586.83/118.55
  6. Step 6: Final answer
    x = 156.78

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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.