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Finding the Fourth Proportional to 82.58, 113.96 and 47.60

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Solution

The fourth proportional to 82.58, 113.96 and 47.60 is: 65.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.58 : 113.96 = 47.60 : x
  2. Step 2: Convert to fraction form
    82.58/113.96 = 47.60/x
  3. Step 3: Cross multiply
    82.58x = 113.96 × 47.60
  4. Step 4: Simplify right side
    82.58x = 5,424.50
  5. Step 5: Solve for x
    x = 5,424.50/82.58
  6. Step 6: Final answer
    x = 65.69

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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.