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Finding the Fourth Proportional to 362.70, 499.42 and 274.30

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Solution

The fourth proportional to 362.70, 499.42 and 274.30 is: 377.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.70 : 499.42 = 274.30 : x
  2. Step 2: Convert to fraction form
    362.70/499.42 = 274.30/x
  3. Step 3: Cross multiply
    362.70x = 499.42 × 274.30
  4. Step 4: Simplify right side
    362.70x = 136,990.91
  5. Step 5: Solve for x
    x = 136,990.91/362.70
  6. Step 6: Final answer
    x = 377.70

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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.