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Finding the Fourth Proportional to 540.29, 745.30 and 365.33

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Solution

The fourth proportional to 540.29, 745.30 and 365.33 is: 503.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.29 : 745.30 = 365.33 : x
  2. Step 2: Convert to fraction form
    540.29/745.30 = 365.33/x
  3. Step 3: Cross multiply
    540.29x = 745.30 × 365.33
  4. Step 4: Simplify right side
    540.29x = 272,282.77
  5. Step 5: Solve for x
    x = 272,282.77/540.29
  6. Step 6: Final answer
    x = 503.95

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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.