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Finding the Fourth Proportional to 213.77, 294.78 and 143.83

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Solution

The fourth proportional to 213.77, 294.78 and 143.83 is: 198.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.77 : 294.78 = 143.83 : x
  2. Step 2: Convert to fraction form
    213.77/294.78 = 143.83/x
  3. Step 3: Cross multiply
    213.77x = 294.78 × 143.83
  4. Step 4: Simplify right side
    213.77x = 42,398.21
  5. Step 5: Solve for x
    x = 42,398.21/213.77
  6. Step 6: Final answer
    x = 198.34

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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.