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Finding the Fourth Proportional to 541.01, 809.46 and 297.72

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Solution

The fourth proportional to 541.01, 809.46 and 297.72 is: 445.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.01 : 809.46 = 297.72 : x
  2. Step 2: Convert to fraction form
    541.01/809.46 = 297.72/x
  3. Step 3: Cross multiply
    541.01x = 809.46 × 297.72
  4. Step 4: Simplify right side
    541.01x = 240,992.43
  5. Step 5: Solve for x
    x = 240,992.43/541.01
  6. Step 6: Final answer
    x = 445.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.