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Finding the Fourth Proportional to 614.34, 920.82 and 249.03

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Solution

The fourth proportional to 614.34, 920.82 and 249.03 is: 373.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.34 : 920.82 = 249.03 : x
  2. Step 2: Convert to fraction form
    614.34/920.82 = 249.03/x
  3. Step 3: Cross multiply
    614.34x = 920.82 × 249.03
  4. Step 4: Simplify right side
    614.34x = 229,311.80
  5. Step 5: Solve for x
    x = 229,311.80/614.34
  6. Step 6: Final answer
    x = 373.27

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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.