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Finding the Fourth Proportional to 411.18, 616.72 and 118.66

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Solution

The fourth proportional to 411.18, 616.72 and 118.66 is: 177.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.18 : 616.72 = 118.66 : x
  2. Step 2: Convert to fraction form
    411.18/616.72 = 118.66/x
  3. Step 3: Cross multiply
    411.18x = 616.72 × 118.66
  4. Step 4: Simplify right side
    411.18x = 73,179.40
  5. Step 5: Solve for x
    x = 73,179.40/411.18
  6. Step 6: Final answer
    x = 177.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.