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Finding the Fourth Proportional to 268.39, 370.72 and 242.43

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Solution

The fourth proportional to 268.39, 370.72 and 242.43 is: 334.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.39 : 370.72 = 242.43 : x
  2. Step 2: Convert to fraction form
    268.39/370.72 = 242.43/x
  3. Step 3: Cross multiply
    268.39x = 370.72 × 242.43
  4. Step 4: Simplify right side
    268.39x = 89,873.65
  5. Step 5: Solve for x
    x = 89,873.65/268.39
  6. Step 6: Final answer
    x = 334.86

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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.