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Finding the Fourth Proportional to 200.80, 299.95 and 149.16

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Solution

The fourth proportional to 200.80, 299.95 and 149.16 is: 222.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.80 : 299.95 = 149.16 : x
  2. Step 2: Convert to fraction form
    200.80/299.95 = 149.16/x
  3. Step 3: Cross multiply
    200.80x = 299.95 × 149.16
  4. Step 4: Simplify right side
    200.80x = 44,740.54
  5. Step 5: Solve for x
    x = 44,740.54/200.80
  6. Step 6: Final answer
    x = 222.82

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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.