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Finding the Fourth Proportional to 392, 540.98 and 217.36

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Solution

The fourth proportional to 392, 540.98 and 217.36 is: 299.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    392 : 540.98 = 217.36 : x
  2. Step 2: Convert to fraction form
    392/540.98 = 217.36/x
  3. Step 3: Cross multiply
    392x = 540.98 × 217.36
  4. Step 4: Simplify right side
    392x = 117,587.41
  5. Step 5: Solve for x
    x = 117,587.41/392
  6. Step 6: Final answer
    x = 299.97

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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.