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Finding the Fourth Proportional to 213.47, 294.42 and 189.87

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Solution

The fourth proportional to 213.47, 294.42 and 189.87 is: 261.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.47 : 294.42 = 189.87 : x
  2. Step 2: Convert to fraction form
    213.47/294.42 = 189.87/x
  3. Step 3: Cross multiply
    213.47x = 294.42 × 189.87
  4. Step 4: Simplify right side
    213.47x = 55,901.53
  5. Step 5: Solve for x
    x = 55,901.53/213.47
  6. Step 6: Final answer
    x = 261.87

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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.