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Finding the Fourth Proportional to 366.39, 549.65 and 119.66

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Solution

The fourth proportional to 366.39, 549.65 and 119.66 is: 179.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.39 : 549.65 = 119.66 : x
  2. Step 2: Convert to fraction form
    366.39/549.65 = 119.66/x
  3. Step 3: Cross multiply
    366.39x = 549.65 × 119.66
  4. Step 4: Simplify right side
    366.39x = 65,771.42
  5. Step 5: Solve for x
    x = 65,771.42/366.39
  6. Step 6: Final answer
    x = 179.51

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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.