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Finding the Fourth Proportional to 200.65, 278.16 and 189.70

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Solution

The fourth proportional to 200.65, 278.16 and 189.70 is: 262.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.65 : 278.16 = 189.70 : x
  2. Step 2: Convert to fraction form
    200.65/278.16 = 189.70/x
  3. Step 3: Cross multiply
    200.65x = 278.16 × 189.70
  4. Step 4: Simplify right side
    200.65x = 52,766.95
  5. Step 5: Solve for x
    x = 52,766.95/200.65
  6. Step 6: Final answer
    x = 262.98

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.