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Finding the Fourth Proportional to 450.20, 674.42 and 358.92

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Solution

The fourth proportional to 450.20, 674.42 and 358.92 is: 537.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.20 : 674.42 = 358.92 : x
  2. Step 2: Convert to fraction form
    450.20/674.42 = 358.92/x
  3. Step 3: Cross multiply
    450.20x = 674.42 × 358.92
  4. Step 4: Simplify right side
    450.20x = 242,062.83
  5. Step 5: Solve for x
    x = 242,062.83/450.20
  6. Step 6: Final answer
    x = 537.68

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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.