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Finding the Fourth Proportional to 200.04, 275.97 and 126.30

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Solution

The fourth proportional to 200.04, 275.97 and 126.30 is: 174.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.04 : 275.97 = 126.30 : x
  2. Step 2: Convert to fraction form
    200.04/275.97 = 126.30/x
  3. Step 3: Cross multiply
    200.04x = 275.97 × 126.30
  4. Step 4: Simplify right side
    200.04x = 34,855.01
  5. Step 5: Solve for x
    x = 34,855.01/200.04
  6. Step 6: Final answer
    x = 174.24

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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.