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Finding the Fourth Proportional to 366.90, 550.40 and 147.49

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Solution

The fourth proportional to 366.90, 550.40 and 147.49 is: 221.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.90 : 550.40 = 147.49 : x
  2. Step 2: Convert to fraction form
    366.90/550.40 = 147.49/x
  3. Step 3: Cross multiply
    366.90x = 550.40 × 147.49
  4. Step 4: Simplify right side
    366.90x = 81,176.38
  5. Step 5: Solve for x
    x = 81,176.38/366.90
  6. Step 6: Final answer
    x = 221.25

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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.