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Finding the Fourth Proportional to 200, 275.84 and 147.72

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Solution

The fourth proportional to 200, 275.84 and 147.72 is: 203.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    200 : 275.84 = 147.72 : x
  2. Step 2: Convert to fraction form
    200/275.84 = 147.72/x
  3. Step 3: Cross multiply
    200x = 275.84 × 147.72
  4. Step 4: Simplify right side
    200x = 40,747.08
  5. Step 5: Solve for x
    x = 40,747.08/200
  6. Step 6: Final answer
    x = 203.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.