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Finding the Fourth Proportional to 540.90, 745.67 and 363.54

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Solution

The fourth proportional to 540.90, 745.67 and 363.54 is: 501.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.90 : 745.67 = 363.54 : x
  2. Step 2: Convert to fraction form
    540.90/745.67 = 363.54/x
  3. Step 3: Cross multiply
    540.90x = 745.67 × 363.54
  4. Step 4: Simplify right side
    540.90x = 271,079.05
  5. Step 5: Solve for x
    x = 271,079.05/540.90
  6. Step 6: Final answer
    x = 501.16

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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.