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Finding the Fourth Proportional to 540.11, 745.47 and 343.58

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Solution

The fourth proportional to 540.11, 745.47 and 343.58 is: 474.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.11 : 745.47 = 343.58 : x
  2. Step 2: Convert to fraction form
    540.11/745.47 = 343.58/x
  3. Step 3: Cross multiply
    540.11x = 745.47 × 343.58
  4. Step 4: Simplify right side
    540.11x = 256,128.58
  5. Step 5: Solve for x
    x = 256,128.58/540.11
  6. Step 6: Final answer
    x = 474.22

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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.