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Finding the Fourth Proportional to 343.84, 518.65 and 323.88

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Solution

The fourth proportional to 343.84, 518.65 and 323.88 is: 488.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.84 : 518.65 = 323.88 : x
  2. Step 2: Convert to fraction form
    343.84/518.65 = 323.88/x
  3. Step 3: Cross multiply
    343.84x = 518.65 × 323.88
  4. Step 4: Simplify right side
    343.84x = 167,980.36
  5. Step 5: Solve for x
    x = 167,980.36/343.84
  6. Step 6: Final answer
    x = 488.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.