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Finding the Fourth Proportional to 392.81, 542.15 and 245.45

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Solution

The fourth proportional to 392.81, 542.15 and 245.45 is: 338.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.81 : 542.15 = 245.45 : x
  2. Step 2: Convert to fraction form
    392.81/542.15 = 245.45/x
  3. Step 3: Cross multiply
    392.81x = 542.15 × 245.45
  4. Step 4: Simplify right side
    392.81x = 133,066.78
  5. Step 5: Solve for x
    x = 133,066.78/392.81
  6. Step 6: Final answer
    x = 338.76

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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.