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Finding the Fourth Proportional to 218.13, 301.01 and 140.50

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Solution

The fourth proportional to 218.13, 301.01 and 140.50 is: 193.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.13 : 301.01 = 140.50 : x
  2. Step 2: Convert to fraction form
    218.13/301.01 = 140.50/x
  3. Step 3: Cross multiply
    218.13x = 301.01 × 140.50
  4. Step 4: Simplify right side
    218.13x = 42,291.91
  5. Step 5: Solve for x
    x = 42,291.91/218.13
  6. Step 6: Final answer
    x = 193.88

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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.