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Finding the Fourth Proportional to 196.48, 271.20 and 157.72

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Solution

The fourth proportional to 196.48, 271.20 and 157.72 is: 217.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.48 : 271.20 = 157.72 : x
  2. Step 2: Convert to fraction form
    196.48/271.20 = 157.72/x
  3. Step 3: Cross multiply
    196.48x = 271.20 × 157.72
  4. Step 4: Simplify right side
    196.48x = 42,773.66
  5. Step 5: Solve for x
    x = 42,773.66/196.48
  6. Step 6: Final answer
    x = 217.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.