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Finding the Fourth Proportional to 365.43, 548.20 and 146.06

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Solution

The fourth proportional to 365.43, 548.20 and 146.06 is: 219.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.43 : 548.20 = 146.06 : x
  2. Step 2: Convert to fraction form
    365.43/548.20 = 146.06/x
  3. Step 3: Cross multiply
    365.43x = 548.20 × 146.06
  4. Step 4: Simplify right side
    365.43x = 80,071.54
  5. Step 5: Solve for x
    x = 80,071.54/365.43
  6. Step 6: Final answer
    x = 219.11

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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.