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Finding the Fourth Proportional to 85.46, 117.77 and 69.84

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Solution

The fourth proportional to 85.46, 117.77 and 69.84 is: 96.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.46 : 117.77 = 69.84 : x
  2. Step 2: Convert to fraction form
    85.46/117.77 = 69.84/x
  3. Step 3: Cross multiply
    85.46x = 117.77 × 69.84
  4. Step 4: Simplify right side
    85.46x = 8,224.71
  5. Step 5: Solve for x
    x = 8,224.71/85.46
  6. Step 6: Final answer
    x = 96.25

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Why These Related Problems?

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