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Finding the Fourth Proportional to 308.24, 424.99 and 268.90

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Solution

The fourth proportional to 308.24, 424.99 and 268.90 is: 370.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.24 : 424.99 = 268.90 : x
  2. Step 2: Convert to fraction form
    308.24/424.99 = 268.90/x
  3. Step 3: Cross multiply
    308.24x = 424.99 × 268.90
  4. Step 4: Simplify right side
    308.24x = 114,279.81
  5. Step 5: Solve for x
    x = 114,279.81/308.24
  6. Step 6: Final answer
    x = 370.75

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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.