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Finding the Fourth Proportional to 418.92, 625.64 and 350.50

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Solution

The fourth proportional to 418.92, 625.64 and 350.50 is: 523.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.92 : 625.64 = 350.50 : x
  2. Step 2: Convert to fraction form
    418.92/625.64 = 350.50/x
  3. Step 3: Cross multiply
    418.92x = 625.64 × 350.50
  4. Step 4: Simplify right side
    418.92x = 219,281.94
  5. Step 5: Solve for x
    x = 219,281.94/418.92
  6. Step 6: Final answer
    x = 523.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.