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Finding the Fourth Proportional to 362.20, 499.31 and 261.29

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Solution

The fourth proportional to 362.20, 499.31 and 261.29 is: 360.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.20 : 499.31 = 261.29 : x
  2. Step 2: Convert to fraction form
    362.20/499.31 = 261.29/x
  3. Step 3: Cross multiply
    362.20x = 499.31 × 261.29
  4. Step 4: Simplify right side
    362.20x = 130,464.71
  5. Step 5: Solve for x
    x = 130,464.71/362.20
  6. Step 6: Final answer
    x = 360.20

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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.