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Finding the Fourth Proportional to 84.41, 116.31 and 58.49

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Solution

The fourth proportional to 84.41, 116.31 and 58.49 is: 80.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.41 : 116.31 = 58.49 : x
  2. Step 2: Convert to fraction form
    84.41/116.31 = 58.49/x
  3. Step 3: Cross multiply
    84.41x = 116.31 × 58.49
  4. Step 4: Simplify right side
    84.41x = 6,802.10
  5. Step 5: Solve for x
    x = 6,802.10/84.41
  6. Step 6: Final answer
    x = 80.59

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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.