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Finding the Fourth Proportional to 914.11, 1,371.11 and 365.90

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Solution

The fourth proportional to 914.11, 1,371.11 and 365.90 is: 548.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.11 : 1,371.11 = 365.90 : x
  2. Step 2: Convert to fraction form
    914.11/1,371.11 = 365.90/x
  3. Step 3: Cross multiply
    914.11x = 1,371.11 × 365.90
  4. Step 4: Simplify right side
    914.11x = 501,680.46
  5. Step 5: Solve for x
    x = 501,680.46/914.11
  6. Step 6: Final answer
    x = 548.82

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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.