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Finding the Fourth Proportional to 200.52, 275.09 and 188.10

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Solution

The fourth proportional to 200.52, 275.09 and 188.10 is: 258.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.52 : 275.09 = 188.10 : x
  2. Step 2: Convert to fraction form
    200.52/275.09 = 188.10/x
  3. Step 3: Cross multiply
    200.52x = 275.09 × 188.10
  4. Step 4: Simplify right side
    200.52x = 51,743.49
  5. Step 5: Solve for x
    x = 51,743.49/200.52
  6. Step 6: Final answer
    x = 258.05

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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.