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Finding the Fourth Proportional to 239.68, 357.05 and 224.74

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Solution

The fourth proportional to 239.68, 357.05 and 224.74 is: 334.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.68 : 357.05 = 224.74 : x
  2. Step 2: Convert to fraction form
    239.68/357.05 = 224.74/x
  3. Step 3: Cross multiply
    239.68x = 357.05 × 224.74
  4. Step 4: Simplify right side
    239.68x = 80,243.42
  5. Step 5: Solve for x
    x = 80,243.42/239.68
  6. Step 6: Final answer
    x = 334.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.