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Finding the Fourth Proportional to 541.91, 747.56 and 355.41

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Solution

The fourth proportional to 541.91, 747.56 and 355.41 is: 490.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.91 : 747.56 = 355.41 : x
  2. Step 2: Convert to fraction form
    541.91/747.56 = 355.41/x
  3. Step 3: Cross multiply
    541.91x = 747.56 × 355.41
  4. Step 4: Simplify right side
    541.91x = 265,684.78
  5. Step 5: Solve for x
    x = 265,684.78/541.91
  6. Step 6: Final answer
    x = 490.28

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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.