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Finding the Fourth Proportional to 294.14, 440.40 and 197.76

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Solution

The fourth proportional to 294.14, 440.40 and 197.76 is: 296.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.14 : 440.40 = 197.76 : x
  2. Step 2: Convert to fraction form
    294.14/440.40 = 197.76/x
  3. Step 3: Cross multiply
    294.14x = 440.40 × 197.76
  4. Step 4: Simplify right side
    294.14x = 87,093.50
  5. Step 5: Solve for x
    x = 87,093.50/294.14
  6. Step 6: Final answer
    x = 296.10

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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.