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Finding the Fourth Proportional to 540.97, 810.81 and 263.47

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Solution

The fourth proportional to 540.97, 810.81 and 263.47 is: 394.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.97 : 810.81 = 263.47 : x
  2. Step 2: Convert to fraction form
    540.97/810.81 = 263.47/x
  3. Step 3: Cross multiply
    540.97x = 810.81 × 263.47
  4. Step 4: Simplify right side
    540.97x = 213,624.11
  5. Step 5: Solve for x
    x = 213,624.11/540.97
  6. Step 6: Final answer
    x = 394.89

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Double scale
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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.