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Finding the Fourth Proportional to 366.63, 549.90 and 123.15

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Solution

The fourth proportional to 366.63, 549.90 and 123.15 is: 184.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.63 : 549.90 = 123.15 : x
  2. Step 2: Convert to fraction form
    366.63/549.90 = 123.15/x
  3. Step 3: Cross multiply
    366.63x = 549.90 × 123.15
  4. Step 4: Simplify right side
    366.63x = 67,720.19
  5. Step 5: Solve for x
    x = 67,720.19/366.63
  6. Step 6: Final answer
    x = 184.71

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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.