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Finding the Fourth Proportional to 364, 546 and 120.55

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Solution

The fourth proportional to 364, 546 and 120.55 is: 180.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    364 : 546 = 120.55 : x
  2. Step 2: Convert to fraction form
    364/546 = 120.55/x
  3. Step 3: Cross multiply
    364x = 546 × 120.55
  4. Step 4: Simplify right side
    364x = 65,820.30
  5. Step 5: Solve for x
    x = 65,820.30/364
  6. Step 6: Final answer
    x = 180.83

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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.