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Finding the Fourth Proportional to 540.47, 745.26 and 365.51

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Solution

The fourth proportional to 540.47, 745.26 and 365.51 is: 504.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.47 : 745.26 = 365.51 : x
  2. Step 2: Convert to fraction form
    540.47/745.26 = 365.51/x
  3. Step 3: Cross multiply
    540.47x = 745.26 × 365.51
  4. Step 4: Simplify right side
    540.47x = 272,399.98
  5. Step 5: Solve for x
    x = 272,399.98/540.47
  6. Step 6: Final answer
    x = 504.01

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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.