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Finding the Fourth Proportional to 98.19, 135.65 and 86.56

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Solution

The fourth proportional to 98.19, 135.65 and 86.56 is: 119.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.19 : 135.65 = 86.56 : x
  2. Step 2: Convert to fraction form
    98.19/135.65 = 86.56/x
  3. Step 3: Cross multiply
    98.19x = 135.65 × 86.56
  4. Step 4: Simplify right side
    98.19x = 11,741.43
  5. Step 5: Solve for x
    x = 11,741.43/98.19
  6. Step 6: Final answer
    x = 119.58

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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.