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Finding the Fourth Proportional to 252.54, 347.67 and 219.66

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Solution

The fourth proportional to 252.54, 347.67 and 219.66 is: 302.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.54 : 347.67 = 219.66 : x
  2. Step 2: Convert to fraction form
    252.54/347.67 = 219.66/x
  3. Step 3: Cross multiply
    252.54x = 347.67 × 219.66
  4. Step 4: Simplify right side
    252.54x = 76,369.19
  5. Step 5: Solve for x
    x = 76,369.19/252.54
  6. Step 6: Final answer
    x = 302.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.