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Finding the Fourth Proportional to 393.41, 589.77 and 149.78

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Solution

The fourth proportional to 393.41, 589.77 and 149.78 is: 224.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.41 : 589.77 = 149.78 : x
  2. Step 2: Convert to fraction form
    393.41/589.77 = 149.78/x
  3. Step 3: Cross multiply
    393.41x = 589.77 × 149.78
  4. Step 4: Simplify right side
    393.41x = 88,332.80
  5. Step 5: Solve for x
    x = 88,332.80/393.41
  6. Step 6: Final answer
    x = 224.53

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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.