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Finding the Fourth Proportional to 89.86, 135.64 and 89.05

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Solution

The fourth proportional to 89.86, 135.64 and 89.05 is: 134.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.86 : 135.64 = 89.05 : x
  2. Step 2: Convert to fraction form
    89.86/135.64 = 89.05/x
  3. Step 3: Cross multiply
    89.86x = 135.64 × 89.05
  4. Step 4: Simplify right side
    89.86x = 12,078.74
  5. Step 5: Solve for x
    x = 12,078.74/89.86
  6. Step 6: Final answer
    x = 134.42

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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.