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Finding the Fourth Proportional to 366, 549.21 and 173.63

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Solution

The fourth proportional to 366, 549.21 and 173.63 is: 260.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    366 : 549.21 = 173.63 : x
  2. Step 2: Convert to fraction form
    366/549.21 = 173.63/x
  3. Step 3: Cross multiply
    366x = 549.21 × 173.63
  4. Step 4: Simplify right side
    366x = 95,356.59
  5. Step 5: Solve for x
    x = 95,356.59/366
  6. Step 6: Final answer
    x = 260.54

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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.