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Finding the Fourth Proportional to 59.75, 82.47 and 35.20

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Solution

The fourth proportional to 59.75, 82.47 and 35.20 is: 48.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.75 : 82.47 = 35.20 : x
  2. Step 2: Convert to fraction form
    59.75/82.47 = 35.20/x
  3. Step 3: Cross multiply
    59.75x = 82.47 × 35.20
  4. Step 4: Simplify right side
    59.75x = 2,902.94
  5. Step 5: Solve for x
    x = 2,902.94/59.75
  6. Step 6: Final answer
    x = 48.58

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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.