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Finding the Fourth Proportional to 364.78, 547.22 and 121.32

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Solution

The fourth proportional to 364.78, 547.22 and 121.32 is: 182.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.78 : 547.22 = 121.32 : x
  2. Step 2: Convert to fraction form
    364.78/547.22 = 121.32/x
  3. Step 3: Cross multiply
    364.78x = 547.22 × 121.32
  4. Step 4: Simplify right side
    364.78x = 66,388.73
  5. Step 5: Solve for x
    x = 66,388.73/364.78
  6. Step 6: Final answer
    x = 182.00

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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.