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Finding the Fourth Proportional to 540.34, 809.66 and 296.12

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Solution

The fourth proportional to 540.34, 809.66 and 296.12 is: 443.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.34 : 809.66 = 296.12 : x
  2. Step 2: Convert to fraction form
    540.34/809.66 = 296.12/x
  3. Step 3: Cross multiply
    540.34x = 809.66 × 296.12
  4. Step 4: Simplify right side
    540.34x = 239,759.28
  5. Step 5: Solve for x
    x = 239,759.28/540.34
  6. Step 6: Final answer
    x = 443.72

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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.