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Finding the Fourth Proportional to 196.20, 294.12 and 157.77

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Solution

The fourth proportional to 196.20, 294.12 and 157.77 is: 236.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.20 : 294.12 = 157.77 : x
  2. Step 2: Convert to fraction form
    196.20/294.12 = 157.77/x
  3. Step 3: Cross multiply
    196.20x = 294.12 × 157.77
  4. Step 4: Simplify right side
    196.20x = 46,403.31
  5. Step 5: Solve for x
    x = 46,403.31/196.20
  6. Step 6: Final answer
    x = 236.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.