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Finding the Fourth Proportional to 540.74, 810.98 and 194.09

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Solution

The fourth proportional to 540.74, 810.98 and 194.09 is: 291.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.74 : 810.98 = 194.09 : x
  2. Step 2: Convert to fraction form
    540.74/810.98 = 194.09/x
  3. Step 3: Cross multiply
    540.74x = 810.98 × 194.09
  4. Step 4: Simplify right side
    540.74x = 157,405.62
  5. Step 5: Solve for x
    x = 157,405.62/540.74
  6. Step 6: Final answer
    x = 291.10

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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.