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Finding the Fourth Proportional to 540.50, 745.61 and 343.80

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Solution

The fourth proportional to 540.50, 745.61 and 343.80 is: 474.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.50 : 745.61 = 343.80 : x
  2. Step 2: Convert to fraction form
    540.50/745.61 = 343.80/x
  3. Step 3: Cross multiply
    540.50x = 745.61 × 343.80
  4. Step 4: Simplify right side
    540.50x = 256,339.00
  5. Step 5: Solve for x
    x = 256,339.00/540.50
  6. Step 6: Final answer
    x = 474.27

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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.