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Finding the Fourth Proportional to 327.62, 494.28 and 291.98

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Solution

The fourth proportional to 327.62, 494.28 and 291.98 is: 440.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.62 : 494.28 = 291.98 : x
  2. Step 2: Convert to fraction form
    327.62/494.28 = 291.98/x
  3. Step 3: Cross multiply
    327.62x = 494.28 × 291.98
  4. Step 4: Simplify right side
    327.62x = 144,319.87
  5. Step 5: Solve for x
    x = 144,319.87/327.62
  6. Step 6: Final answer
    x = 440.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.