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Finding the Fourth Proportional to 540.78, 811.10 and 215.94

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Solution

The fourth proportional to 540.78, 811.10 and 215.94 is: 323.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.78 : 811.10 = 215.94 : x
  2. Step 2: Convert to fraction form
    540.78/811.10 = 215.94/x
  3. Step 3: Cross multiply
    540.78x = 811.10 × 215.94
  4. Step 4: Simplify right side
    540.78x = 175,148.93
  5. Step 5: Solve for x
    x = 175,148.93/540.78
  6. Step 6: Final answer
    x = 323.88

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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.