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Finding the Fourth Proportional to 342.15, 471.78 and 217.82

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Solution

The fourth proportional to 342.15, 471.78 and 217.82 is: 300.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.15 : 471.78 = 217.82 : x
  2. Step 2: Convert to fraction form
    342.15/471.78 = 217.82/x
  3. Step 3: Cross multiply
    342.15x = 471.78 × 217.82
  4. Step 4: Simplify right side
    342.15x = 102,760.76
  5. Step 5: Solve for x
    x = 102,760.76/342.15
  6. Step 6: Final answer
    x = 300.34

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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.