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Finding the Fourth Proportional to 319.24, 478.78 and 126.76

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Solution

The fourth proportional to 319.24, 478.78 and 126.76 is: 190.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.24 : 478.78 = 126.76 : x
  2. Step 2: Convert to fraction form
    319.24/478.78 = 126.76/x
  3. Step 3: Cross multiply
    319.24x = 478.78 × 126.76
  4. Step 4: Simplify right side
    319.24x = 60,690.15
  5. Step 5: Solve for x
    x = 60,690.15/319.24
  6. Step 6: Final answer
    x = 190.11

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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.