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Finding the Fourth Proportional to 614.93, 921.78 and 224.60

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Solution

The fourth proportional to 614.93, 921.78 and 224.60 is: 336.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.93 : 921.78 = 224.60 : x
  2. Step 2: Convert to fraction form
    614.93/921.78 = 224.60/x
  3. Step 3: Cross multiply
    614.93x = 921.78 × 224.60
  4. Step 4: Simplify right side
    614.93x = 207,031.79
  5. Step 5: Solve for x
    x = 207,031.79/614.93
  6. Step 6: Final answer
    x = 336.68

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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.