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Finding the Fourth Proportional to 309.12, 462.68 and 268.32

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Solution

The fourth proportional to 309.12, 462.68 and 268.32 is: 401.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.12 : 462.68 = 268.32 : x
  2. Step 2: Convert to fraction form
    309.12/462.68 = 268.32/x
  3. Step 3: Cross multiply
    309.12x = 462.68 × 268.32
  4. Step 4: Simplify right side
    309.12x = 124,146.30
  5. Step 5: Solve for x
    x = 124,146.30/309.12
  6. Step 6: Final answer
    x = 401.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.