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Finding the Fourth Proportional to 392.01, 540.50 and 281.45

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Solution

The fourth proportional to 392.01, 540.50 and 281.45 is: 388.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.01 : 540.50 = 281.45 : x
  2. Step 2: Convert to fraction form
    392.01/540.50 = 281.45/x
  3. Step 3: Cross multiply
    392.01x = 540.50 × 281.45
  4. Step 4: Simplify right side
    392.01x = 152,119.62
  5. Step 5: Solve for x
    x = 152,119.62/392.01
  6. Step 6: Final answer
    x = 388.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.