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Finding the Fourth Proportional to 614.21, 921.44 and 249.26

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Solution

The fourth proportional to 614.21, 921.44 and 249.26 is: 373.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.21 : 921.44 = 249.26 : x
  2. Step 2: Convert to fraction form
    614.21/921.44 = 249.26/x
  3. Step 3: Cross multiply
    614.21x = 921.44 × 249.26
  4. Step 4: Simplify right side
    614.21x = 229,679.19
  5. Step 5: Solve for x
    x = 229,679.19/614.21
  6. Step 6: Final answer
    x = 373.94

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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.