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Finding the Fourth Proportional to 540.20, 745.63 and 319.28

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Solution

The fourth proportional to 540.20, 745.63 and 319.28 is: 440.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.20 : 745.63 = 319.28 : x
  2. Step 2: Convert to fraction form
    540.20/745.63 = 319.28/x
  3. Step 3: Cross multiply
    540.20x = 745.63 × 319.28
  4. Step 4: Simplify right side
    540.20x = 238,064.26
  5. Step 5: Solve for x
    x = 238,064.26/540.20
  6. Step 6: Final answer
    x = 440.70

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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.