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Finding the Fourth Proportional to 206.18, 285.18 and 183.20

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Solution

The fourth proportional to 206.18, 285.18 and 183.20 is: 253.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.18 : 285.18 = 183.20 : x
  2. Step 2: Convert to fraction form
    206.18/285.18 = 183.20/x
  3. Step 3: Cross multiply
    206.18x = 285.18 × 183.20
  4. Step 4: Simplify right side
    206.18x = 52,244.98
  5. Step 5: Solve for x
    x = 52,244.98/206.18
  6. Step 6: Final answer
    x = 253.39

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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.