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Finding the Fourth Proportional to 374.96, 562.17 and 230.38

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Solution

The fourth proportional to 374.96, 562.17 and 230.38 is: 345.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.96 : 562.17 = 230.38 : x
  2. Step 2: Convert to fraction form
    374.96/562.17 = 230.38/x
  3. Step 3: Cross multiply
    374.96x = 562.17 × 230.38
  4. Step 4: Simplify right side
    374.96x = 129,512.72
  5. Step 5: Solve for x
    x = 129,512.72/374.96
  6. Step 6: Final answer
    x = 345.40

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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.