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Finding the Fourth Proportional to 196.70, 293.91 and 135.34

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Solution

The fourth proportional to 196.70, 293.91 and 135.34 is: 202.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.70 : 293.91 = 135.34 : x
  2. Step 2: Convert to fraction form
    196.70/293.91 = 135.34/x
  3. Step 3: Cross multiply
    196.70x = 293.91 × 135.34
  4. Step 4: Simplify right side
    196.70x = 39,777.30
  5. Step 5: Solve for x
    x = 39,777.30/196.70
  6. Step 6: Final answer
    x = 202.23

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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.