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Finding the Fourth Proportional to 196.96, 296.53 and 170.50

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Solution

The fourth proportional to 196.96, 296.53 and 170.50 is: 256.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.96 : 296.53 = 170.50 : x
  2. Step 2: Convert to fraction form
    196.96/296.53 = 170.50/x
  3. Step 3: Cross multiply
    196.96x = 296.53 × 170.50
  4. Step 4: Simplify right side
    196.96x = 50,558.37
  5. Step 5: Solve for x
    x = 50,558.37/196.96
  6. Step 6: Final answer
    x = 256.69

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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.