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Finding the Fourth Proportional to 364.38, 546.57 and 120.78

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Solution

The fourth proportional to 364.38, 546.57 and 120.78 is: 181.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.38 : 546.57 = 120.78 : x
  2. Step 2: Convert to fraction form
    364.38/546.57 = 120.78/x
  3. Step 3: Cross multiply
    364.38x = 546.57 × 120.78
  4. Step 4: Simplify right side
    364.38x = 66,014.72
  5. Step 5: Solve for x
    x = 66,014.72/364.38
  6. Step 6: Final answer
    x = 181.17

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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.