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Finding the Fourth Proportional to 444.98, 668.07 and 342.92

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Solution

The fourth proportional to 444.98, 668.07 and 342.92 is: 514.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.98 : 668.07 = 342.92 : x
  2. Step 2: Convert to fraction form
    444.98/668.07 = 342.92/x
  3. Step 3: Cross multiply
    444.98x = 668.07 × 342.92
  4. Step 4: Simplify right side
    444.98x = 229,091.22
  5. Step 5: Solve for x
    x = 229,091.22/444.98
  6. Step 6: Final answer
    x = 514.84

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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.