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Finding the Fourth Proportional to 196.91, 296.43 and 177.06

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Solution

The fourth proportional to 196.91, 296.43 and 177.06 is: 266.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.91 : 296.43 = 177.06 : x
  2. Step 2: Convert to fraction form
    196.91/296.43 = 177.06/x
  3. Step 3: Cross multiply
    196.91x = 296.43 × 177.06
  4. Step 4: Simplify right side
    196.91x = 52,485.90
  5. Step 5: Solve for x
    x = 52,485.90/196.91
  6. Step 6: Final answer
    x = 266.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.