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Finding the Fourth Proportional to 305.28, 456.59 and 179.89

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Solution

The fourth proportional to 305.28, 456.59 and 179.89 is: 269.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.28 : 456.59 = 179.89 : x
  2. Step 2: Convert to fraction form
    305.28/456.59 = 179.89/x
  3. Step 3: Cross multiply
    305.28x = 456.59 × 179.89
  4. Step 4: Simplify right side
    305.28x = 82,138.27
  5. Step 5: Solve for x
    x = 82,138.27/305.28
  6. Step 6: Final answer
    x = 269.06

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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.