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Finding the Fourth Proportional to 614.74, 921.70 and 249.43

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Solution

The fourth proportional to 614.74, 921.70 and 249.43 is: 373.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.74 : 921.70 = 249.43 : x
  2. Step 2: Convert to fraction form
    614.74/921.70 = 249.43/x
  3. Step 3: Cross multiply
    614.74x = 921.70 × 249.43
  4. Step 4: Simplify right side
    614.74x = 229,899.63
  5. Step 5: Solve for x
    x = 229,899.63/614.74
  6. Step 6: Final answer
    x = 373.98

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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.