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Finding the Fourth Proportional to 411.12, 616.21 and 167.34

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Solution

The fourth proportional to 411.12, 616.21 and 167.34 is: 250.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.12 : 616.21 = 167.34 : x
  2. Step 2: Convert to fraction form
    411.12/616.21 = 167.34/x
  3. Step 3: Cross multiply
    411.12x = 616.21 × 167.34
  4. Step 4: Simplify right side
    411.12x = 103,118.47
  5. Step 5: Solve for x
    x = 103,118.47/411.12
  6. Step 6: Final answer
    x = 250.82

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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.