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Finding the Fourth Proportional to 540.54, 745.76 and 319.41

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Solution

The fourth proportional to 540.54, 745.76 and 319.41 is: 440.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.54 : 745.76 = 319.41 : x
  2. Step 2: Convert to fraction form
    540.54/745.76 = 319.41/x
  3. Step 3: Cross multiply
    540.54x = 745.76 × 319.41
  4. Step 4: Simplify right side
    540.54x = 238,204.00
  5. Step 5: Solve for x
    x = 238,204.00/540.54
  6. Step 6: Final answer
    x = 440.68

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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.