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Finding the Fourth Proportional to 362.32, 499.56 and 275.20

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Solution

The fourth proportional to 362.32, 499.56 and 275.20 is: 379.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.32 : 499.56 = 275.20 : x
  2. Step 2: Convert to fraction form
    362.32/499.56 = 275.20/x
  3. Step 3: Cross multiply
    362.32x = 499.56 × 275.20
  4. Step 4: Simplify right side
    362.32x = 137,478.91
  5. Step 5: Solve for x
    x = 137,478.91/362.32
  6. Step 6: Final answer
    x = 379.44

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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.