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Finding the Fourth Proportional to 206.04, 284.10 and 143.91

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Solution

The fourth proportional to 206.04, 284.10 and 143.91 is: 198.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.04 : 284.10 = 143.91 : x
  2. Step 2: Convert to fraction form
    206.04/284.10 = 143.91/x
  3. Step 3: Cross multiply
    206.04x = 284.10 × 143.91
  4. Step 4: Simplify right side
    206.04x = 40,884.83
  5. Step 5: Solve for x
    x = 40,884.83/206.04
  6. Step 6: Final answer
    x = 198.43

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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.