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Finding the Fourth Proportional to 397.29, 595.23 and 223.76

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Solution

The fourth proportional to 397.29, 595.23 and 223.76 is: 335.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.29 : 595.23 = 223.76 : x
  2. Step 2: Convert to fraction form
    397.29/595.23 = 223.76/x
  3. Step 3: Cross multiply
    397.29x = 595.23 × 223.76
  4. Step 4: Simplify right side
    397.29x = 133,185.69
  5. Step 5: Solve for x
    x = 133,185.69/397.29
  6. Step 6: Final answer
    x = 335.24

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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.