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Finding the Fourth Proportional to 614.11, 921.26 and 354.07

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Solution

The fourth proportional to 614.11, 921.26 and 354.07 is: 531.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.11 : 921.26 = 354.07 : x
  2. Step 2: Convert to fraction form
    614.11/921.26 = 354.07/x
  3. Step 3: Cross multiply
    614.11x = 921.26 × 354.07
  4. Step 4: Simplify right side
    614.11x = 326,190.53
  5. Step 5: Solve for x
    x = 326,190.53/614.11
  6. Step 6: Final answer
    x = 531.16

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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.