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Finding the Fourth Proportional to 392.68, 541.70 and 268.34

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Solution

The fourth proportional to 392.68, 541.70 and 268.34 is: 370.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.68 : 541.70 = 268.34 : x
  2. Step 2: Convert to fraction form
    392.68/541.70 = 268.34/x
  3. Step 3: Cross multiply
    392.68x = 541.70 × 268.34
  4. Step 4: Simplify right side
    392.68x = 145,360.46
  5. Step 5: Solve for x
    x = 145,360.46/392.68
  6. Step 6: Final answer
    x = 370.18

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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.