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Finding the Fourth Proportional to 268.08, 399.52 and 251.12

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Solution

The fourth proportional to 268.08, 399.52 and 251.12 is: 374.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.08 : 399.52 = 251.12 : x
  2. Step 2: Convert to fraction form
    268.08/399.52 = 251.12/x
  3. Step 3: Cross multiply
    268.08x = 399.52 × 251.12
  4. Step 4: Simplify right side
    268.08x = 100,327.46
  5. Step 5: Solve for x
    x = 100,327.46/268.08
  6. Step 6: Final answer
    x = 374.24

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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.