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Finding the Fourth Proportional to 89.69, 134.39 and 57.19

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Solution

The fourth proportional to 89.69, 134.39 and 57.19 is: 85.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.69 : 134.39 = 57.19 : x
  2. Step 2: Convert to fraction form
    89.69/134.39 = 57.19/x
  3. Step 3: Cross multiply
    89.69x = 134.39 × 57.19
  4. Step 4: Simplify right side
    89.69x = 7,685.36
  5. Step 5: Solve for x
    x = 7,685.36/89.69
  6. Step 6: Final answer
    x = 85.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.