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Finding the Fourth Proportional to 215.10, 296.91 and 140.42

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Solution

The fourth proportional to 215.10, 296.91 and 140.42 is: 193.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.10 : 296.91 = 140.42 : x
  2. Step 2: Convert to fraction form
    215.10/296.91 = 140.42/x
  3. Step 3: Cross multiply
    215.10x = 296.91 × 140.42
  4. Step 4: Simplify right side
    215.10x = 41,692.10
  5. Step 5: Solve for x
    x = 41,692.10/215.10
  6. Step 6: Final answer
    x = 193.83

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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.