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Finding the Fourth Proportional to 342.51, 471.96 and 244.09

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Solution

The fourth proportional to 342.51, 471.96 and 244.09 is: 336.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.51 : 471.96 = 244.09 : x
  2. Step 2: Convert to fraction form
    342.51/471.96 = 244.09/x
  3. Step 3: Cross multiply
    342.51x = 471.96 × 244.09
  4. Step 4: Simplify right side
    342.51x = 115,200.72
  5. Step 5: Solve for x
    x = 115,200.72/342.51
  6. Step 6: Final answer
    x = 336.34

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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.