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Finding the Fourth Proportional to 43.84, 65.70 and 31.78

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Solution

The fourth proportional to 43.84, 65.70 and 31.78 is: 47.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.84 : 65.70 = 31.78 : x
  2. Step 2: Convert to fraction form
    43.84/65.70 = 31.78/x
  3. Step 3: Cross multiply
    43.84x = 65.70 × 31.78
  4. Step 4: Simplify right side
    43.84x = 2,087.95
  5. Step 5: Solve for x
    x = 2,087.95/43.84
  6. Step 6: Final answer
    x = 47.63

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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.