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Finding the Fourth Proportional to 540.41, 745.04 and 353.57

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Solution

The fourth proportional to 540.41, 745.04 and 353.57 is: 487.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.41 : 745.04 = 353.57 : x
  2. Step 2: Convert to fraction form
    540.41/745.04 = 353.57/x
  3. Step 3: Cross multiply
    540.41x = 745.04 × 353.57
  4. Step 4: Simplify right side
    540.41x = 263,423.89
  5. Step 5: Solve for x
    x = 263,423.89/540.41
  6. Step 6: Final answer
    x = 487.46

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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.