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Finding the Fourth Proportional to 540, 745.17 and 318.90

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Solution

The fourth proportional to 540, 745.17 and 318.90 is: 440.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    540 : 745.17 = 318.90 : x
  2. Step 2: Convert to fraction form
    540/745.17 = 318.90/x
  3. Step 3: Cross multiply
    540x = 745.17 × 318.90
  4. Step 4: Simplify right side
    540x = 237,634.71
  5. Step 5: Solve for x
    x = 237,634.71/540
  6. Step 6: Final answer
    x = 440.06

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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.