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Finding the Fourth Proportional to 392.54, 541.76 and 282.38

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Solution

The fourth proportional to 392.54, 541.76 and 282.38 is: 389.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.54 : 541.76 = 282.38 : x
  2. Step 2: Convert to fraction form
    392.54/541.76 = 282.38/x
  3. Step 3: Cross multiply
    392.54x = 541.76 × 282.38
  4. Step 4: Simplify right side
    392.54x = 152,982.19
  5. Step 5: Solve for x
    x = 152,982.19/392.54
  6. Step 6: Final answer
    x = 389.72

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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.