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Finding the Fourth Proportional to 200.70, 275.45 and 179.84

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Solution

The fourth proportional to 200.70, 275.45 and 179.84 is: 246.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.70 : 275.45 = 179.84 : x
  2. Step 2: Convert to fraction form
    200.70/275.45 = 179.84/x
  3. Step 3: Cross multiply
    200.70x = 275.45 × 179.84
  4. Step 4: Simplify right side
    200.70x = 49,536.72
  5. Step 5: Solve for x
    x = 49,536.72/200.70
  6. Step 6: Final answer
    x = 246.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.