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Finding the Fourth Proportional to 331.59, 496.98 and 270.84

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Solution

The fourth proportional to 331.59, 496.98 and 270.84 is: 405.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.59 : 496.98 = 270.84 : x
  2. Step 2: Convert to fraction form
    331.59/496.98 = 270.84/x
  3. Step 3: Cross multiply
    331.59x = 496.98 × 270.84
  4. Step 4: Simplify right side
    331.59x = 134,602.06
  5. Step 5: Solve for x
    x = 134,602.06/331.59
  6. Step 6: Final answer
    x = 405.93

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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.