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Finding the Fourth Proportional to 67.26, 92.84 and 45.13

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Solution

The fourth proportional to 67.26, 92.84 and 45.13 is: 62.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.26 : 92.84 = 45.13 : x
  2. Step 2: Convert to fraction form
    67.26/92.84 = 45.13/x
  3. Step 3: Cross multiply
    67.26x = 92.84 × 45.13
  4. Step 4: Simplify right side
    67.26x = 4,189.64
  5. Step 5: Solve for x
    x = 4,189.64/67.26
  6. Step 6: Final answer
    x = 62.29

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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.