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Finding the Fourth Proportional to 364.06, 546.14 and 120.61

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Solution

The fourth proportional to 364.06, 546.14 and 120.61 is: 180.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.06 : 546.14 = 120.61 : x
  2. Step 2: Convert to fraction form
    364.06/546.14 = 120.61/x
  3. Step 3: Cross multiply
    364.06x = 546.14 × 120.61
  4. Step 4: Simplify right side
    364.06x = 65,869.95
  5. Step 5: Solve for x
    x = 65,869.95/364.06
  6. Step 6: Final answer
    x = 180.93

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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.