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Finding the Fourth Proportional to 82.41, 113.83 and 64.22

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Solution

The fourth proportional to 82.41, 113.83 and 64.22 is: 88.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.41 : 113.83 = 64.22 : x
  2. Step 2: Convert to fraction form
    82.41/113.83 = 64.22/x
  3. Step 3: Cross multiply
    82.41x = 113.83 × 64.22
  4. Step 4: Simplify right side
    82.41x = 7,310.16
  5. Step 5: Solve for x
    x = 7,310.16/82.41
  6. Step 6: Final answer
    x = 88.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.