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Finding the Fourth Proportional to 540.14, 809.28 and 296.84

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Solution

The fourth proportional to 540.14, 809.28 and 296.84 is: 444.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.14 : 809.28 = 296.84 : x
  2. Step 2: Convert to fraction form
    540.14/809.28 = 296.84/x
  3. Step 3: Cross multiply
    540.14x = 809.28 × 296.84
  4. Step 4: Simplify right side
    540.14x = 240,226.68
  5. Step 5: Solve for x
    x = 240,226.68/540.14
  6. Step 6: Final answer
    x = 444.75

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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.