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Finding the Fourth Proportional to 268.28, 400.47 and 248.24

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Solution

The fourth proportional to 268.28, 400.47 and 248.24 is: 370.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.28 : 400.47 = 248.24 : x
  2. Step 2: Convert to fraction form
    268.28/400.47 = 248.24/x
  3. Step 3: Cross multiply
    268.28x = 400.47 × 248.24
  4. Step 4: Simplify right side
    268.28x = 99,410.67
  5. Step 5: Solve for x
    x = 99,410.67/268.28
  6. Step 6: Final answer
    x = 370.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.