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Finding the Fourth Proportional to 392.15, 540.78 and 252.25

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Solution

The fourth proportional to 392.15, 540.78 and 252.25 is: 347.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.15 : 540.78 = 252.25 : x
  2. Step 2: Convert to fraction form
    392.15/540.78 = 252.25/x
  3. Step 3: Cross multiply
    392.15x = 540.78 × 252.25
  4. Step 4: Simplify right side
    392.15x = 136,411.76
  5. Step 5: Solve for x
    x = 136,411.76/392.15
  6. Step 6: Final answer
    x = 347.86

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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.