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Finding the Fourth Proportional to 301.74, 417.92 and 281.92

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Solution

The fourth proportional to 301.74, 417.92 and 281.92 is: 390.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.74 : 417.92 = 281.92 : x
  2. Step 2: Convert to fraction form
    301.74/417.92 = 281.92/x
  3. Step 3: Cross multiply
    301.74x = 417.92 × 281.92
  4. Step 4: Simplify right side
    301.74x = 117,819.73
  5. Step 5: Solve for x
    x = 117,819.73/301.74
  6. Step 6: Final answer
    x = 390.47

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.