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Finding the Fourth Proportional to 200.31, 300.01 and 97.66

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Solution

The fourth proportional to 200.31, 300.01 and 97.66 is: 146.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.31 : 300.01 = 97.66 : x
  2. Step 2: Convert to fraction form
    200.31/300.01 = 97.66/x
  3. Step 3: Cross multiply
    200.31x = 300.01 × 97.66
  4. Step 4: Simplify right side
    200.31x = 29,298.98
  5. Step 5: Solve for x
    x = 29,298.98/200.31
  6. Step 6: Final answer
    x = 146.27

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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.