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Finding the Fourth Proportional to 446.23, 614.78 and 333.71

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Solution

The fourth proportional to 446.23, 614.78 and 333.71 is: 459.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.23 : 614.78 = 333.71 : x
  2. Step 2: Convert to fraction form
    446.23/614.78 = 333.71/x
  3. Step 3: Cross multiply
    446.23x = 614.78 × 333.71
  4. Step 4: Simplify right side
    446.23x = 205,158.23
  5. Step 5: Solve for x
    x = 205,158.23/446.23
  6. Step 6: Final answer
    x = 459.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.