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Finding the Fourth Proportional to 63.23, 94.86 and 19.90

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Solution

The fourth proportional to 63.23, 94.86 and 19.90 is: 29.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.23 : 94.86 = 19.90 : x
  2. Step 2: Convert to fraction form
    63.23/94.86 = 19.90/x
  3. Step 3: Cross multiply
    63.23x = 94.86 × 19.90
  4. Step 4: Simplify right side
    63.23x = 1,887.24
  5. Step 5: Solve for x
    x = 1,887.24/63.23
  6. Step 6: Final answer
    x = 29.85

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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.