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Finding the Fourth Proportional to 353.52, 529.72 and 179.69

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Solution

The fourth proportional to 353.52, 529.72 and 179.69 is: 269.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.52 : 529.72 = 179.69 : x
  2. Step 2: Convert to fraction form
    353.52/529.72 = 179.69/x
  3. Step 3: Cross multiply
    353.52x = 529.72 × 179.69
  4. Step 4: Simplify right side
    353.52x = 95,182.29
  5. Step 5: Solve for x
    x = 95,182.29/353.52
  6. Step 6: Final answer
    x = 269.24

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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.