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Finding the Fourth Proportional to 268.80, 370.78 and 237.70

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Solution

The fourth proportional to 268.80, 370.78 and 237.70 is: 327.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.80 : 370.78 = 237.70 : x
  2. Step 2: Convert to fraction form
    268.80/370.78 = 237.70/x
  3. Step 3: Cross multiply
    268.80x = 370.78 × 237.70
  4. Step 4: Simplify right side
    268.80x = 88,134.41
  5. Step 5: Solve for x
    x = 88,134.41/268.80
  6. Step 6: Final answer
    x = 327.88

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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.