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Finding the Fourth Proportional to 442.37, 660.90 and 330.71

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Solution

The fourth proportional to 442.37, 660.90 and 330.71 is: 494.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.37 : 660.90 = 330.71 : x
  2. Step 2: Convert to fraction form
    442.37/660.90 = 330.71/x
  3. Step 3: Cross multiply
    442.37x = 660.90 × 330.71
  4. Step 4: Simplify right side
    442.37x = 218,562.93
  5. Step 5: Solve for x
    x = 218,562.93/442.37
  6. Step 6: Final answer
    x = 494.08

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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.