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Finding the Fourth Proportional to 365.66, 548.12 and 146.24

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Solution

The fourth proportional to 365.66, 548.12 and 146.24 is: 219.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.66 : 548.12 = 146.24 : x
  2. Step 2: Convert to fraction form
    365.66/548.12 = 146.24/x
  3. Step 3: Cross multiply
    365.66x = 548.12 × 146.24
  4. Step 4: Simplify right side
    365.66x = 80,155.93
  5. Step 5: Solve for x
    x = 80,155.93/365.66
  6. Step 6: Final answer
    x = 219.21

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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.