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Finding the Fourth Proportional to 614.50, 920.88 and 249.04

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Solution

The fourth proportional to 614.50, 920.88 and 249.04 is: 373.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.50 : 920.88 = 249.04 : x
  2. Step 2: Convert to fraction form
    614.50/920.88 = 249.04/x
  3. Step 3: Cross multiply
    614.50x = 920.88 × 249.04
  4. Step 4: Simplify right side
    614.50x = 229,335.96
  5. Step 5: Solve for x
    x = 229,335.96/614.50
  6. Step 6: Final answer
    x = 373.21

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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.