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Finding the Fourth Proportional to 196.52, 292.89 and 191.40

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Solution

The fourth proportional to 196.52, 292.89 and 191.40 is: 285.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.52 : 292.89 = 191.40 : x
  2. Step 2: Convert to fraction form
    196.52/292.89 = 191.40/x
  3. Step 3: Cross multiply
    196.52x = 292.89 × 191.40
  4. Step 4: Simplify right side
    196.52x = 56,059.15
  5. Step 5: Solve for x
    x = 56,059.15/196.52
  6. Step 6: Final answer
    x = 285.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.