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Finding the Fourth Proportional to 392.49, 542.06 and 310.21

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Solution

The fourth proportional to 392.49, 542.06 and 310.21 is: 428.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.49 : 542.06 = 310.21 : x
  2. Step 2: Convert to fraction form
    392.49/542.06 = 310.21/x
  3. Step 3: Cross multiply
    392.49x = 542.06 × 310.21
  4. Step 4: Simplify right side
    392.49x = 168,150.69
  5. Step 5: Solve for x
    x = 168,150.69/392.49
  6. Step 6: Final answer
    x = 428.42

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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.