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Finding the Fourth Proportional to 85.77, 118.38 and 63.99

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Solution

The fourth proportional to 85.77, 118.38 and 63.99 is: 88.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.77 : 118.38 = 63.99 : x
  2. Step 2: Convert to fraction form
    85.77/118.38 = 63.99/x
  3. Step 3: Cross multiply
    85.77x = 118.38 × 63.99
  4. Step 4: Simplify right side
    85.77x = 7,575.14
  5. Step 5: Solve for x
    x = 7,575.14/85.77
  6. Step 6: Final answer
    x = 88.32

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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.