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Finding the Fourth Proportional to 540.82, 810.74 and 194.07

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Solution

The fourth proportional to 540.82, 810.74 and 194.07 is: 290.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.82 : 810.74 = 194.07 : x
  2. Step 2: Convert to fraction form
    540.82/810.74 = 194.07/x
  3. Step 3: Cross multiply
    540.82x = 810.74 × 194.07
  4. Step 4: Simplify right side
    540.82x = 157,341.28
  5. Step 5: Solve for x
    x = 157,341.28/540.82
  6. Step 6: Final answer
    x = 290.93

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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.