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Finding the Fourth Proportional to 243.81, 365.54 and 146.30

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Solution

The fourth proportional to 243.81, 365.54 and 146.30 is: 219.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.81 : 365.54 = 146.30 : x
  2. Step 2: Convert to fraction form
    243.81/365.54 = 146.30/x
  3. Step 3: Cross multiply
    243.81x = 365.54 × 146.30
  4. Step 4: Simplify right side
    243.81x = 53,475.94
  5. Step 5: Solve for x
    x = 53,475.94/243.81
  6. Step 6: Final answer
    x = 219.33

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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.