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Finding the Fourth Proportional to 365.07, 547.74 and 227.96

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Solution

The fourth proportional to 365.07, 547.74 and 227.96 is: 342.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.07 : 547.74 = 227.96 : x
  2. Step 2: Convert to fraction form
    365.07/547.74 = 227.96/x
  3. Step 3: Cross multiply
    365.07x = 547.74 × 227.96
  4. Step 4: Simplify right side
    365.07x = 124,862.13
  5. Step 5: Solve for x
    x = 124,862.13/365.07
  6. Step 6: Final answer
    x = 342.02

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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.