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Finding the Fourth Proportional to 196.40, 294.62 and 83.77

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Solution

The fourth proportional to 196.40, 294.62 and 83.77 is: 125.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.40 : 294.62 = 83.77 : x
  2. Step 2: Convert to fraction form
    196.40/294.62 = 83.77/x
  3. Step 3: Cross multiply
    196.40x = 294.62 × 83.77
  4. Step 4: Simplify right side
    196.40x = 24,679.16
  5. Step 5: Solve for x
    x = 24,679.16/196.40
  6. Step 6: Final answer
    x = 125.66

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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.