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Finding the Fourth Proportional to 540.08, 809.76 and 265.94

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Solution

The fourth proportional to 540.08, 809.76 and 265.94 is: 398.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.08 : 809.76 = 265.94 : x
  2. Step 2: Convert to fraction form
    540.08/809.76 = 265.94/x
  3. Step 3: Cross multiply
    540.08x = 809.76 × 265.94
  4. Step 4: Simplify right side
    540.08x = 215,347.57
  5. Step 5: Solve for x
    x = 215,347.57/540.08
  6. Step 6: Final answer
    x = 398.73

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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.