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Finding the Fourth Proportional to 541.38, 810.87 and 378.66

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Solution

The fourth proportional to 541.38, 810.87 and 378.66 is: 567.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.38 : 810.87 = 378.66 : x
  2. Step 2: Convert to fraction form
    541.38/810.87 = 378.66/x
  3. Step 3: Cross multiply
    541.38x = 810.87 × 378.66
  4. Step 4: Simplify right side
    541.38x = 307,044.03
  5. Step 5: Solve for x
    x = 307,044.03/541.38
  6. Step 6: Final answer
    x = 567.15

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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.