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Finding the Fourth Proportional to 206.42, 307.88 and 200.36

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Solution

The fourth proportional to 206.42, 307.88 and 200.36 is: 298.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.42 : 307.88 = 200.36 : x
  2. Step 2: Convert to fraction form
    206.42/307.88 = 200.36/x
  3. Step 3: Cross multiply
    206.42x = 307.88 × 200.36
  4. Step 4: Simplify right side
    206.42x = 61,686.84
  5. Step 5: Solve for x
    x = 61,686.84/206.42
  6. Step 6: Final answer
    x = 298.84

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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.