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Finding the Fourth Proportional to 342.94, 472.34 and 339.44

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Solution

The fourth proportional to 342.94, 472.34 and 339.44 is: 467.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.94 : 472.34 = 339.44 : x
  2. Step 2: Convert to fraction form
    342.94/472.34 = 339.44/x
  3. Step 3: Cross multiply
    342.94x = 472.34 × 339.44
  4. Step 4: Simplify right side
    342.94x = 160,331.09
  5. Step 5: Solve for x
    x = 160,331.09/342.94
  6. Step 6: Final answer
    x = 467.52

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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.