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Finding the Fourth Proportional to 364.68, 547.20 and 227.68

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Solution

The fourth proportional to 364.68, 547.20 and 227.68 is: 341.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.68 : 547.20 = 227.68 : x
  2. Step 2: Convert to fraction form
    364.68/547.20 = 227.68/x
  3. Step 3: Cross multiply
    364.68x = 547.20 × 227.68
  4. Step 4: Simplify right side
    364.68x = 124,585.13
  5. Step 5: Solve for x
    x = 124,585.13/364.68
  6. Step 6: Final answer
    x = 341.63

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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.