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Finding the Fourth Proportional to 540.77, 810.67 and 194.02

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Solution

The fourth proportional to 540.77, 810.67 and 194.02 is: 290.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.77 : 810.67 = 194.02 : x
  2. Step 2: Convert to fraction form
    540.77/810.67 = 194.02/x
  3. Step 3: Cross multiply
    540.77x = 810.67 × 194.02
  4. Step 4: Simplify right side
    540.77x = 157,290.02
  5. Step 5: Solve for x
    x = 157,290.02/540.77
  6. Step 6: Final answer
    x = 290.86

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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.