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Finding the Fourth Proportional to 392.69, 541.67 and 282.31

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Solution

The fourth proportional to 392.69, 541.67 and 282.31 is: 389.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.69 : 541.67 = 282.31 : x
  2. Step 2: Convert to fraction form
    392.69/541.67 = 282.31/x
  3. Step 3: Cross multiply
    392.69x = 541.67 × 282.31
  4. Step 4: Simplify right side
    392.69x = 152,921.07
  5. Step 5: Solve for x
    x = 152,921.07/392.69
  6. Step 6: Final answer
    x = 389.42

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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.