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Finding the Fourth Proportional to 89.96, 135.59 and 86.44

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Solution

The fourth proportional to 89.96, 135.59 and 86.44 is: 130.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.96 : 135.59 = 86.44 : x
  2. Step 2: Convert to fraction form
    89.96/135.59 = 86.44/x
  3. Step 3: Cross multiply
    89.96x = 135.59 × 86.44
  4. Step 4: Simplify right side
    89.96x = 11,720.40
  5. Step 5: Solve for x
    x = 11,720.40/89.96
  6. Step 6: Final answer
    x = 130.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.