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Finding the Fourth Proportional to 200.87, 301.31 and 72.53

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Solution

The fourth proportional to 200.87, 301.31 and 72.53 is: 108.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.87 : 301.31 = 72.53 : x
  2. Step 2: Convert to fraction form
    200.87/301.31 = 72.53/x
  3. Step 3: Cross multiply
    200.87x = 301.31 × 72.53
  4. Step 4: Simplify right side
    200.87x = 21,854.01
  5. Step 5: Solve for x
    x = 21,854.01/200.87
  6. Step 6: Final answer
    x = 108.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.