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Finding the Fourth Proportional to 89.55, 134.33 and 31.78

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Solution

The fourth proportional to 89.55, 134.33 and 31.78 is: 47.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.55 : 134.33 = 31.78 : x
  2. Step 2: Convert to fraction form
    89.55/134.33 = 31.78/x
  3. Step 3: Cross multiply
    89.55x = 134.33 × 31.78
  4. Step 4: Simplify right side
    89.55x = 4,269.01
  5. Step 5: Solve for x
    x = 4,269.01/89.55
  6. Step 6: Final answer
    x = 47.67

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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.