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Finding the Fourth Proportional to 364.17, 546.30 and 120.75

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Solution

The fourth proportional to 364.17, 546.30 and 120.75 is: 181.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.17 : 546.30 = 120.75 : x
  2. Step 2: Convert to fraction form
    364.17/546.30 = 120.75/x
  3. Step 3: Cross multiply
    364.17x = 546.30 × 120.75
  4. Step 4: Simplify right side
    364.17x = 65,965.73
  5. Step 5: Solve for x
    x = 65,965.73/364.17
  6. Step 6: Final answer
    x = 181.14

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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.