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Finding the Fourth Proportional to 392.27, 540.56 and 281.57

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Solution

The fourth proportional to 392.27, 540.56 and 281.57 is: 388.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.27 : 540.56 = 281.57 : x
  2. Step 2: Convert to fraction form
    392.27/540.56 = 281.57/x
  3. Step 3: Cross multiply
    392.27x = 540.56 × 281.57
  4. Step 4: Simplify right side
    392.27x = 152,204.07
  5. Step 5: Solve for x
    x = 152,204.07/392.27
  6. Step 6: Final answer
    x = 388.01

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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.