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Finding the Fourth Proportional to 86.28, 118.83 and 64.41

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Solution

The fourth proportional to 86.28, 118.83 and 64.41 is: 88.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.28 : 118.83 = 64.41 : x
  2. Step 2: Convert to fraction form
    86.28/118.83 = 64.41/x
  3. Step 3: Cross multiply
    86.28x = 118.83 × 64.41
  4. Step 4: Simplify right side
    86.28x = 7,653.84
  5. Step 5: Solve for x
    x = 7,653.84/86.28
  6. Step 6: Final answer
    x = 88.71

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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.