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Finding the Fourth Proportional to 389.96, 537.92 and 296.74

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Solution

The fourth proportional to 389.96, 537.92 and 296.74 is: 409.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.96 : 537.92 = 296.74 : x
  2. Step 2: Convert to fraction form
    389.96/537.92 = 296.74/x
  3. Step 3: Cross multiply
    389.96x = 537.92 × 296.74
  4. Step 4: Simplify right side
    389.96x = 159,622.38
  5. Step 5: Solve for x
    x = 159,622.38/389.96
  6. Step 6: Final answer
    x = 409.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.