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Finding the Fourth Proportional to 196.48, 294.77 and 105.13

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Solution

The fourth proportional to 196.48, 294.77 and 105.13 is: 157.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.48 : 294.77 = 105.13 : x
  2. Step 2: Convert to fraction form
    196.48/294.77 = 105.13/x
  3. Step 3: Cross multiply
    196.48x = 294.77 × 105.13
  4. Step 4: Simplify right side
    196.48x = 30,989.17
  5. Step 5: Solve for x
    x = 30,989.17/196.48
  6. Step 6: Final answer
    x = 157.72

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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.