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Finding the Fourth Proportional to 392.98, 589.54 and 187.78

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Solution

The fourth proportional to 392.98, 589.54 and 187.78 is: 281.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.98 : 589.54 = 187.78 : x
  2. Step 2: Convert to fraction form
    392.98/589.54 = 187.78/x
  3. Step 3: Cross multiply
    392.98x = 589.54 × 187.78
  4. Step 4: Simplify right side
    392.98x = 110,700.87
  5. Step 5: Solve for x
    x = 110,700.87/392.98
  6. Step 6: Final answer
    x = 281.70

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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.