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Finding the Fourth Proportional to 392.04, 540.42 and 281.52

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Solution

The fourth proportional to 392.04, 540.42 and 281.52 is: 388.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.04 : 540.42 = 281.52 : x
  2. Step 2: Convert to fraction form
    392.04/540.42 = 281.52/x
  3. Step 3: Cross multiply
    392.04x = 540.42 × 281.52
  4. Step 4: Simplify right side
    392.04x = 152,139.04
  5. Step 5: Solve for x
    x = 152,139.04/392.04
  6. Step 6: Final answer
    x = 388.07

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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.