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Finding the Fourth Proportional to 540.56, 811.02 and 193.88

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Solution

The fourth proportional to 540.56, 811.02 and 193.88 is: 290.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.56 : 811.02 = 193.88 : x
  2. Step 2: Convert to fraction form
    540.56/811.02 = 193.88/x
  3. Step 3: Cross multiply
    540.56x = 811.02 × 193.88
  4. Step 4: Simplify right side
    540.56x = 157,240.56
  5. Step 5: Solve for x
    x = 157,240.56/540.56
  6. Step 6: Final answer
    x = 290.88

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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.