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Finding the Fourth Proportional to 595.20, 891.92 and 229.76

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Solution

The fourth proportional to 595.20, 891.92 and 229.76 is: 344.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.20 : 891.92 = 229.76 : x
  2. Step 2: Convert to fraction form
    595.20/891.92 = 229.76/x
  3. Step 3: Cross multiply
    595.20x = 891.92 × 229.76
  4. Step 4: Simplify right side
    595.20x = 204,927.54
  5. Step 5: Solve for x
    x = 204,927.54/595.20
  6. Step 6: Final answer
    x = 344.30

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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.