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Finding the Fourth Proportional to 392.48, 538.18 and 378.74

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Solution

The fourth proportional to 392.48, 538.18 and 378.74 is: 519.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.48 : 538.18 = 378.74 : x
  2. Step 2: Convert to fraction form
    392.48/538.18 = 378.74/x
  3. Step 3: Cross multiply
    392.48x = 538.18 × 378.74
  4. Step 4: Simplify right side
    392.48x = 203,830.29
  5. Step 5: Solve for x
    x = 203,830.29/392.48
  6. Step 6: Final answer
    x = 519.34

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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.