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Finding the Fourth Proportional to 200.57, 298.85 and 179.00

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Solution

The fourth proportional to 200.57, 298.85 and 179.00 is: 266.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.57 : 298.85 = 179.00 : x
  2. Step 2: Convert to fraction form
    200.57/298.85 = 179.00/x
  3. Step 3: Cross multiply
    200.57x = 298.85 × 179.00
  4. Step 4: Simplify right side
    200.57x = 53,494.00
  5. Step 5: Solve for x
    x = 53,494.00/200.57
  6. Step 6: Final answer
    x = 266.72

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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.