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Finding the Fourth Proportional to 541.28, 747 and 308.42

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Solution

The fourth proportional to 541.28, 747 and 308.42 is: 425.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.28 : 747 = 308.42 : x
  2. Step 2: Convert to fraction form
    541.28/747 = 308.42/x
  3. Step 3: Cross multiply
    541.28x = 747 × 308.42
  4. Step 4: Simplify right side
    541.28x = 230,389.74
  5. Step 5: Solve for x
    x = 230,389.74/541.28
  6. Step 6: Final answer
    x = 425.64

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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.