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Finding the Fourth Proportional to 89.78, 134.60 and 35.71

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Solution

The fourth proportional to 89.78, 134.60 and 35.71 is: 53.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.78 : 134.60 = 35.71 : x
  2. Step 2: Convert to fraction form
    89.78/134.60 = 35.71/x
  3. Step 3: Cross multiply
    89.78x = 134.60 × 35.71
  4. Step 4: Simplify right side
    89.78x = 4,806.05
  5. Step 5: Solve for x
    x = 4,806.05/89.78
  6. Step 6: Final answer
    x = 53.53

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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.