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Finding the Fourth Proportional to 60.17, 82.69 and 54.09

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Solution

The fourth proportional to 60.17, 82.69 and 54.09 is: 74.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.17 : 82.69 = 54.09 : x
  2. Step 2: Convert to fraction form
    60.17/82.69 = 54.09/x
  3. Step 3: Cross multiply
    60.17x = 82.69 × 54.09
  4. Step 4: Simplify right side
    60.17x = 4,473.08
  5. Step 5: Solve for x
    x = 4,473.08/60.17
  6. Step 6: Final answer
    x = 74.34

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.