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Finding the Fourth Proportional to 540.35, 745.70 and 319.49

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Solution

The fourth proportional to 540.35, 745.70 and 319.49 is: 440.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.35 : 745.70 = 319.49 : x
  2. Step 2: Convert to fraction form
    540.35/745.70 = 319.49/x
  3. Step 3: Cross multiply
    540.35x = 745.70 × 319.49
  4. Step 4: Simplify right side
    540.35x = 238,243.69
  5. Step 5: Solve for x
    x = 238,243.69/540.35
  6. Step 6: Final answer
    x = 440.91

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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.