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Finding the Fourth Proportional to 366.48, 549.50 and 149.81

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Solution

The fourth proportional to 366.48, 549.50 and 149.81 is: 224.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.48 : 549.50 = 149.81 : x
  2. Step 2: Convert to fraction form
    366.48/549.50 = 149.81/x
  3. Step 3: Cross multiply
    366.48x = 549.50 × 149.81
  4. Step 4: Simplify right side
    366.48x = 82,317.10
  5. Step 5: Solve for x
    x = 82,317.10/366.48
  6. Step 6: Final answer
    x = 224.62

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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.