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Finding the Fourth Proportional to 540.81, 810.29 and 247.86

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Solution

The fourth proportional to 540.81, 810.29 and 247.86 is: 371.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.81 : 810.29 = 247.86 : x
  2. Step 2: Convert to fraction form
    540.81/810.29 = 247.86/x
  3. Step 3: Cross multiply
    540.81x = 810.29 × 247.86
  4. Step 4: Simplify right side
    540.81x = 200,839.10
  5. Step 5: Solve for x
    x = 200,839.10/540.81
  6. Step 6: Final answer
    x = 371.37

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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.