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Finding the Fourth Proportional to 67.23, 100.40 and 56.97

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Solution

The fourth proportional to 67.23, 100.40 and 56.97 is: 85.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.23 : 100.40 = 56.97 : x
  2. Step 2: Convert to fraction form
    67.23/100.40 = 56.97/x
  3. Step 3: Cross multiply
    67.23x = 100.40 × 56.97
  4. Step 4: Simplify right side
    67.23x = 5,719.50
  5. Step 5: Solve for x
    x = 5,719.50/67.23
  6. Step 6: Final answer
    x = 85.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.