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Finding the Fourth Proportional to 206.55, 307.70 and 200.17

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Solution

The fourth proportional to 206.55, 307.70 and 200.17 is: 298.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.55 : 307.70 = 200.17 : x
  2. Step 2: Convert to fraction form
    206.55/307.70 = 200.17/x
  3. Step 3: Cross multiply
    206.55x = 307.70 × 200.17
  4. Step 4: Simplify right side
    206.55x = 61,592.44
  5. Step 5: Solve for x
    x = 61,592.44/206.55
  6. Step 6: Final answer
    x = 298.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.