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Finding the Fourth Proportional to 342.34, 471.97 and 224.08

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Solution

The fourth proportional to 342.34, 471.97 and 224.08 is: 308.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.34 : 471.97 = 224.08 : x
  2. Step 2: Convert to fraction form
    342.34/471.97 = 224.08/x
  3. Step 3: Cross multiply
    342.34x = 471.97 × 224.08
  4. Step 4: Simplify right side
    342.34x = 105,759.04
  5. Step 5: Solve for x
    x = 105,759.04/342.34
  6. Step 6: Final answer
    x = 308.93

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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.