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Finding the Fourth Proportional to 44.23, 65.82 and 43.78

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Solution

The fourth proportional to 44.23, 65.82 and 43.78 is: 65.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.23 : 65.82 = 43.78 : x
  2. Step 2: Convert to fraction form
    44.23/65.82 = 43.78/x
  3. Step 3: Cross multiply
    44.23x = 65.82 × 43.78
  4. Step 4: Simplify right side
    44.23x = 2,881.05
  5. Step 5: Solve for x
    x = 2,881.05/44.23
  6. Step 6: Final answer
    x = 65.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.