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Finding the Fourth Proportional to 196.70, 270.23 and 176.25

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Solution

The fourth proportional to 196.70, 270.23 and 176.25 is: 242.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.70 : 270.23 = 176.25 : x
  2. Step 2: Convert to fraction form
    196.70/270.23 = 176.25/x
  3. Step 3: Cross multiply
    196.70x = 270.23 × 176.25
  4. Step 4: Simplify right side
    196.70x = 47,627.16
  5. Step 5: Solve for x
    x = 47,627.16/196.70
  6. Step 6: Final answer
    x = 242.13

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.