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Finding the Fourth Proportional to 304.74, 459.20 and 251.82

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Solution

The fourth proportional to 304.74, 459.20 and 251.82 is: 379.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.74 : 459.20 = 251.82 : x
  2. Step 2: Convert to fraction form
    304.74/459.20 = 251.82/x
  3. Step 3: Cross multiply
    304.74x = 459.20 × 251.82
  4. Step 4: Simplify right side
    304.74x = 115,635.74
  5. Step 5: Solve for x
    x = 115,635.74/304.74
  6. Step 6: Final answer
    x = 379.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.