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Finding the Fourth Proportional to 98.58, 135.97 and 69.07

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Solution

The fourth proportional to 98.58, 135.97 and 69.07 is: 95.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.58 : 135.97 = 69.07 : x
  2. Step 2: Convert to fraction form
    98.58/135.97 = 69.07/x
  3. Step 3: Cross multiply
    98.58x = 135.97 × 69.07
  4. Step 4: Simplify right side
    98.58x = 9,391.45
  5. Step 5: Solve for x
    x = 9,391.45/98.58
  6. Step 6: Final answer
    x = 95.27

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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.