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Finding the Fourth Proportional to 347.81, 480.30 and 223.69

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Solution

The fourth proportional to 347.81, 480.30 and 223.69 is: 308.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.81 : 480.30 = 223.69 : x
  2. Step 2: Convert to fraction form
    347.81/480.30 = 223.69/x
  3. Step 3: Cross multiply
    347.81x = 480.30 × 223.69
  4. Step 4: Simplify right side
    347.81x = 107,436.55
  5. Step 5: Solve for x
    x = 107,436.55/347.81
  6. Step 6: Final answer
    x = 308.89

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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.