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Finding the Fourth Proportional to 392.94, 542.19 and 253.08

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Solution

The fourth proportional to 392.94, 542.19 and 253.08 is: 349.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.94 : 542.19 = 253.08 : x
  2. Step 2: Convert to fraction form
    392.94/542.19 = 253.08/x
  3. Step 3: Cross multiply
    392.94x = 542.19 × 253.08
  4. Step 4: Simplify right side
    392.94x = 137,217.45
  5. Step 5: Solve for x
    x = 137,217.45/392.94
  6. Step 6: Final answer
    x = 349.21

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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.