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Finding the Fourth Proportional to 540.67, 810.77 and 194.09

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Solution

The fourth proportional to 540.67, 810.77 and 194.09 is: 291.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.67 : 810.77 = 194.09 : x
  2. Step 2: Convert to fraction form
    540.67/810.77 = 194.09/x
  3. Step 3: Cross multiply
    540.67x = 810.77 × 194.09
  4. Step 4: Simplify right side
    540.67x = 157,362.35
  5. Step 5: Solve for x
    x = 157,362.35/540.67
  6. Step 6: Final answer
    x = 291.05

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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.