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Finding the Fourth Proportional to 45.89, 63.23 and 34.21

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Solution

The fourth proportional to 45.89, 63.23 and 34.21 is: 47.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.89 : 63.23 = 34.21 : x
  2. Step 2: Convert to fraction form
    45.89/63.23 = 34.21/x
  3. Step 3: Cross multiply
    45.89x = 63.23 × 34.21
  4. Step 4: Simplify right side
    45.89x = 2,163.10
  5. Step 5: Solve for x
    x = 2,163.10/45.89
  6. Step 6: Final answer
    x = 47.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.