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Finding the Fourth Proportional to 98.24, 135.66 and 77.51

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Solution

The fourth proportional to 98.24, 135.66 and 77.51 is: 107.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.24 : 135.66 = 77.51 : x
  2. Step 2: Convert to fraction form
    98.24/135.66 = 77.51/x
  3. Step 3: Cross multiply
    98.24x = 135.66 × 77.51
  4. Step 4: Simplify right side
    98.24x = 10,514.33
  5. Step 5: Solve for x
    x = 10,514.33/98.24
  6. Step 6: Final answer
    x = 107.03

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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.