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Finding the Fourth Proportional to 294.98, 407 and 196.88

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Solution

The fourth proportional to 294.98, 407 and 196.88 is: 271.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.98 : 407 = 196.88 : x
  2. Step 2: Convert to fraction form
    294.98/407 = 196.88/x
  3. Step 3: Cross multiply
    294.98x = 407 × 196.88
  4. Step 4: Simplify right side
    294.98x = 80,130.16
  5. Step 5: Solve for x
    x = 80,130.16/294.98
  6. Step 6: Final answer
    x = 271.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.