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Finding the Fourth Proportional to 342.12, 472.42 and 293.48

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Solution

The fourth proportional to 342.12, 472.42 and 293.48 is: 405.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.12 : 472.42 = 293.48 : x
  2. Step 2: Convert to fraction form
    342.12/472.42 = 293.48/x
  3. Step 3: Cross multiply
    342.12x = 472.42 × 293.48
  4. Step 4: Simplify right side
    342.12x = 138,645.82
  5. Step 5: Solve for x
    x = 138,645.82/342.12
  6. Step 6: Final answer
    x = 405.25

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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.