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Finding the Fourth Proportional to 366.15, 548.89 and 146.92

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Solution

The fourth proportional to 366.15, 548.89 and 146.92 is: 220.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.15 : 548.89 = 146.92 : x
  2. Step 2: Convert to fraction form
    366.15/548.89 = 146.92/x
  3. Step 3: Cross multiply
    366.15x = 548.89 × 146.92
  4. Step 4: Simplify right side
    366.15x = 80,642.18
  5. Step 5: Solve for x
    x = 80,642.18/366.15
  6. Step 6: Final answer
    x = 220.24

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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.