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Finding the Fourth Proportional to 410.35, 615.53 and 166.85

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Solution

The fourth proportional to 410.35, 615.53 and 166.85 is: 250.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.35 : 615.53 = 166.85 : x
  2. Step 2: Convert to fraction form
    410.35/615.53 = 166.85/x
  3. Step 3: Cross multiply
    410.35x = 615.53 × 166.85
  4. Step 4: Simplify right side
    410.35x = 102,701.18
  5. Step 5: Solve for x
    x = 102,701.18/410.35
  6. Step 6: Final answer
    x = 250.28

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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.