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Finding the Fourth Proportional to 540.44, 810.41 and 232.19

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Solution

The fourth proportional to 540.44, 810.41 and 232.19 is: 348.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.44 : 810.41 = 232.19 : x
  2. Step 2: Convert to fraction form
    540.44/810.41 = 232.19/x
  3. Step 3: Cross multiply
    540.44x = 810.41 × 232.19
  4. Step 4: Simplify right side
    540.44x = 188,163.88
  5. Step 5: Solve for x
    x = 188,163.88/540.44
  6. Step 6: Final answer
    x = 348.17

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1.5x scale

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.