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Finding the Fourth Proportional to 392.83, 541.99 and 280.84

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Solution

The fourth proportional to 392.83, 541.99 and 280.84 is: 387.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.83 : 541.99 = 280.84 : x
  2. Step 2: Convert to fraction form
    392.83/541.99 = 280.84/x
  3. Step 3: Cross multiply
    392.83x = 541.99 × 280.84
  4. Step 4: Simplify right side
    392.83x = 152,211.47
  5. Step 5: Solve for x
    x = 152,211.47/392.83
  6. Step 6: Final answer
    x = 387.47

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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.