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Finding the Fourth Proportional to 392.95, 542.54 and 245.65

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Solution

The fourth proportional to 392.95, 542.54 and 245.65 is: 339.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.95 : 542.54 = 245.65 : x
  2. Step 2: Convert to fraction form
    392.95/542.54 = 245.65/x
  3. Step 3: Cross multiply
    392.95x = 542.54 × 245.65
  4. Step 4: Simplify right side
    392.95x = 133,273.29
  5. Step 5: Solve for x
    x = 133,273.29/392.95
  6. Step 6: Final answer
    x = 339.16

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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.