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Finding the Fourth Proportional to 379.84, 526.12 and 351.76

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Solution

The fourth proportional to 379.84, 526.12 and 351.76 is: 487.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.84 : 526.12 = 351.76 : x
  2. Step 2: Convert to fraction form
    379.84/526.12 = 351.76/x
  3. Step 3: Cross multiply
    379.84x = 526.12 × 351.76
  4. Step 4: Simplify right side
    379.84x = 185,067.97
  5. Step 5: Solve for x
    x = 185,067.97/379.84
  6. Step 6: Final answer
    x = 487.23

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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.