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Finding the Fourth Proportional to 392.98, 589.67 and 149.68

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Solution

The fourth proportional to 392.98, 589.67 and 149.68 is: 224.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.98 : 589.67 = 149.68 : x
  2. Step 2: Convert to fraction form
    392.98/589.67 = 149.68/x
  3. Step 3: Cross multiply
    392.98x = 589.67 × 149.68
  4. Step 4: Simplify right side
    392.98x = 88,261.81
  5. Step 5: Solve for x
    x = 88,261.81/392.98
  6. Step 6: Final answer
    x = 224.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.