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Finding the Fourth Proportional to 98.32, 146.75 and 86.79

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Solution

The fourth proportional to 98.32, 146.75 and 86.79 is: 129.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.32 : 146.75 = 86.79 : x
  2. Step 2: Convert to fraction form
    98.32/146.75 = 86.79/x
  3. Step 3: Cross multiply
    98.32x = 146.75 × 86.79
  4. Step 4: Simplify right side
    98.32x = 12,736.07
  5. Step 5: Solve for x
    x = 12,736.07/98.32
  6. Step 6: Final answer
    x = 129.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.