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Finding the Fourth Proportional to 389.96, 538.15 and 212.92

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Solution

The fourth proportional to 389.96, 538.15 and 212.92 is: 293.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.96 : 538.15 = 212.92 : x
  2. Step 2: Convert to fraction form
    389.96/538.15 = 212.92/x
  3. Step 3: Cross multiply
    389.96x = 538.15 × 212.92
  4. Step 4: Simplify right side
    389.96x = 114,581.02
  5. Step 5: Solve for x
    x = 114,581.02/389.96
  6. Step 6: Final answer
    x = 293.83

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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.