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Finding the Fourth Proportional to 343.76, 474.48 and 219.44

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Solution

The fourth proportional to 343.76, 474.48 and 219.44 is: 302.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.76 : 474.48 = 219.44 : x
  2. Step 2: Convert to fraction form
    343.76/474.48 = 219.44/x
  3. Step 3: Cross multiply
    343.76x = 474.48 × 219.44
  4. Step 4: Simplify right side
    343.76x = 104,119.89
  5. Step 5: Solve for x
    x = 104,119.89/343.76
  6. Step 6: Final answer
    x = 302.89

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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.