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Finding the Fourth Proportional to 196.63, 294.95 and 85.40

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Solution

The fourth proportional to 196.63, 294.95 and 85.40 is: 128.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.63 : 294.95 = 85.40 : x
  2. Step 2: Convert to fraction form
    196.63/294.95 = 85.40/x
  3. Step 3: Cross multiply
    196.63x = 294.95 × 85.40
  4. Step 4: Simplify right side
    196.63x = 25,189.63
  5. Step 5: Solve for x
    x = 25,189.63/196.63
  6. Step 6: Final answer
    x = 128.11

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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.