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Finding the Fourth Proportional to 540.64, 745.68 and 363.52

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Solution

The fourth proportional to 540.64, 745.68 and 363.52 is: 501.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.64 : 745.68 = 363.52 : x
  2. Step 2: Convert to fraction form
    540.64/745.68 = 363.52/x
  3. Step 3: Cross multiply
    540.64x = 745.68 × 363.52
  4. Step 4: Simplify right side
    540.64x = 271,069.59
  5. Step 5: Solve for x
    x = 271,069.59/540.64
  6. Step 6: Final answer
    x = 501.39

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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.