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Finding the Fourth Proportional to 98.29, 135.33 and 83.51

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Solution

The fourth proportional to 98.29, 135.33 and 83.51 is: 114.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.29 : 135.33 = 83.51 : x
  2. Step 2: Convert to fraction form
    98.29/135.33 = 83.51/x
  3. Step 3: Cross multiply
    98.29x = 135.33 × 83.51
  4. Step 4: Simplify right side
    98.29x = 11,300.31
  5. Step 5: Solve for x
    x = 11,300.31/98.29
  6. Step 6: Final answer
    x = 114.97

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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.