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Finding the Fourth Proportional to 268.46, 370.20 and 224.72

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Solution

The fourth proportional to 268.46, 370.20 and 224.72 is: 309.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.46 : 370.20 = 224.72 : x
  2. Step 2: Convert to fraction form
    268.46/370.20 = 224.72/x
  3. Step 3: Cross multiply
    268.46x = 370.20 × 224.72
  4. Step 4: Simplify right side
    268.46x = 83,191.34
  5. Step 5: Solve for x
    x = 83,191.34/268.46
  6. Step 6: Final answer
    x = 309.88

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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.