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Finding the Fourth Proportional to 196.50, 294.61 and 138.40

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Solution

The fourth proportional to 196.50, 294.61 and 138.40 is: 207.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.50 : 294.61 = 138.40 : x
  2. Step 2: Convert to fraction form
    196.50/294.61 = 138.40/x
  3. Step 3: Cross multiply
    196.50x = 294.61 × 138.40
  4. Step 4: Simplify right side
    196.50x = 40,771.86
  5. Step 5: Solve for x
    x = 40,771.86/196.50
  6. Step 6: Final answer
    x = 207.49

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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.