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Finding the Fourth Proportional to 331.08, 498.89 and 274.56

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Solution

The fourth proportional to 331.08, 498.89 and 274.56 is: 413.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.08 : 498.89 = 274.56 : x
  2. Step 2: Convert to fraction form
    331.08/498.89 = 274.56/x
  3. Step 3: Cross multiply
    331.08x = 498.89 × 274.56
  4. Step 4: Simplify right side
    331.08x = 136,973.87
  5. Step 5: Solve for x
    x = 136,973.87/331.08
  6. Step 6: Final answer
    x = 413.72

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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.