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Finding the Fourth Proportional to 150.95, 226.32 and 69.83

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Solution

The fourth proportional to 150.95, 226.32 and 69.83 is: 104.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.95 : 226.32 = 69.83 : x
  2. Step 2: Convert to fraction form
    150.95/226.32 = 69.83/x
  3. Step 3: Cross multiply
    150.95x = 226.32 × 69.83
  4. Step 4: Simplify right side
    150.95x = 15,803.93
  5. Step 5: Solve for x
    x = 15,803.93/150.95
  6. Step 6: Final answer
    x = 104.70

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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.