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Finding the Fourth Proportional to 309.34, 464.40 and 268.72

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Solution

The fourth proportional to 309.34, 464.40 and 268.72 is: 403.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.34 : 464.40 = 268.72 : x
  2. Step 2: Convert to fraction form
    309.34/464.40 = 268.72/x
  3. Step 3: Cross multiply
    309.34x = 464.40 × 268.72
  4. Step 4: Simplify right side
    309.34x = 124,793.57
  5. Step 5: Solve for x
    x = 124,793.57/309.34
  6. Step 6: Final answer
    x = 403.42

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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.