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Finding the Fourth Proportional to 84.54, 115.98 and 83.10

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Solution

The fourth proportional to 84.54, 115.98 and 83.10 is: 114.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.54 : 115.98 = 83.10 : x
  2. Step 2: Convert to fraction form
    84.54/115.98 = 83.10/x
  3. Step 3: Cross multiply
    84.54x = 115.98 × 83.10
  4. Step 4: Simplify right side
    84.54x = 9,637.94
  5. Step 5: Solve for x
    x = 9,637.94/84.54
  6. Step 6: Final answer
    x = 114.00

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.