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Finding the Fourth Proportional to 304.73, 419.87 and 254.76

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Solution

The fourth proportional to 304.73, 419.87 and 254.76 is: 351.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.73 : 419.87 = 254.76 : x
  2. Step 2: Convert to fraction form
    304.73/419.87 = 254.76/x
  3. Step 3: Cross multiply
    304.73x = 419.87 × 254.76
  4. Step 4: Simplify right side
    304.73x = 106,964.81
  5. Step 5: Solve for x
    x = 106,964.81/304.73
  6. Step 6: Final answer
    x = 351.02

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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.