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Finding the Fourth Proportional to 84.22, 116.25 and 56.57

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Solution

The fourth proportional to 84.22, 116.25 and 56.57 is: 78.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.22 : 116.25 = 56.57 : x
  2. Step 2: Convert to fraction form
    84.22/116.25 = 56.57/x
  3. Step 3: Cross multiply
    84.22x = 116.25 × 56.57
  4. Step 4: Simplify right side
    84.22x = 6,576.26
  5. Step 5: Solve for x
    x = 6,576.26/84.22
  6. Step 6: Final answer
    x = 78.08

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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.