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Finding the Fourth Proportional to 85.54, 117.35 and 84.10

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Solution

The fourth proportional to 85.54, 117.35 and 84.10 is: 115.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.54 : 117.35 = 84.10 : x
  2. Step 2: Convert to fraction form
    85.54/117.35 = 84.10/x
  3. Step 3: Cross multiply
    85.54x = 117.35 × 84.10
  4. Step 4: Simplify right side
    85.54x = 9,869.14
  5. Step 5: Solve for x
    x = 9,869.14/85.54
  6. Step 6: Final answer
    x = 115.37

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Why These Related Problems?

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