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Finding the Fourth Proportional to 398, 596.75 and 224.66

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Solution

The fourth proportional to 398, 596.75 and 224.66 is: 336.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    398 : 596.75 = 224.66 : x
  2. Step 2: Convert to fraction form
    398/596.75 = 224.66/x
  3. Step 3: Cross multiply
    398x = 596.75 × 224.66
  4. Step 4: Simplify right side
    398x = 134,065.86
  5. Step 5: Solve for x
    x = 134,065.86/398
  6. Step 6: Final answer
    x = 336.85

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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.