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Finding the Fourth Proportional to 392.18, 538.97 and 322.12

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Solution

The fourth proportional to 392.18, 538.97 and 322.12 is: 442.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.18 : 538.97 = 322.12 : x
  2. Step 2: Convert to fraction form
    392.18/538.97 = 322.12/x
  3. Step 3: Cross multiply
    392.18x = 538.97 × 322.12
  4. Step 4: Simplify right side
    392.18x = 173,612.47
  5. Step 5: Solve for x
    x = 173,612.47/392.18
  6. Step 6: Final answer
    x = 442.68

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.