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Finding the Fourth Proportional to 360.24, 540.81 and 306.47

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Solution

The fourth proportional to 360.24, 540.81 and 306.47 is: 460.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.24 : 540.81 = 306.47 : x
  2. Step 2: Convert to fraction form
    360.24/540.81 = 306.47/x
  3. Step 3: Cross multiply
    360.24x = 540.81 × 306.47
  4. Step 4: Simplify right side
    360.24x = 165,742.04
  5. Step 5: Solve for x
    x = 165,742.04/360.24
  6. Step 6: Final answer
    x = 460.09

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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.