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Finding the Fourth Proportional to 540.24, 745.38 and 363.45

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Solution

The fourth proportional to 540.24, 745.38 and 363.45 is: 501.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.24 : 745.38 = 363.45 : x
  2. Step 2: Convert to fraction form
    540.24/745.38 = 363.45/x
  3. Step 3: Cross multiply
    540.24x = 745.38 × 363.45
  4. Step 4: Simplify right side
    540.24x = 270,908.36
  5. Step 5: Solve for x
    x = 270,908.36/540.24
  6. Step 6: Final answer
    x = 501.46

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1.5x scale

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.