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Finding the Fourth Proportional to 60.00, 82.82 and 35.44

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Solution

The fourth proportional to 60.00, 82.82 and 35.44 is: 48.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.00 : 82.82 = 35.44 : x
  2. Step 2: Convert to fraction form
    60.00/82.82 = 35.44/x
  3. Step 3: Cross multiply
    60.00x = 82.82 × 35.44
  4. Step 4: Simplify right side
    60.00x = 2,935.02
  5. Step 5: Solve for x
    x = 2,935.02/60.00
  6. Step 6: Final answer
    x = 48.91

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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.