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Finding the Fourth Proportional to 446.68, 668.78 and 351.92

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Solution

The fourth proportional to 446.68, 668.78 and 351.92 is: 526.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.68 : 668.78 = 351.92 : x
  2. Step 2: Convert to fraction form
    446.68/668.78 = 351.92/x
  3. Step 3: Cross multiply
    446.68x = 668.78 × 351.92
  4. Step 4: Simplify right side
    446.68x = 235,357.06
  5. Step 5: Solve for x
    x = 235,357.06/446.68
  6. Step 6: Final answer
    x = 526.90

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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.