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Finding the Fourth Proportional to 67.13, 92.33 and 61.33

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Solution

The fourth proportional to 67.13, 92.33 and 61.33 is: 84.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.13 : 92.33 = 61.33 : x
  2. Step 2: Convert to fraction form
    67.13/92.33 = 61.33/x
  3. Step 3: Cross multiply
    67.13x = 92.33 × 61.33
  4. Step 4: Simplify right side
    67.13x = 5,662.14
  5. Step 5: Solve for x
    x = 5,662.14/67.13
  6. Step 6: Final answer
    x = 84.35

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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.