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Finding the Fourth Proportional to 342.21, 472.24 and 202.33

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Solution

The fourth proportional to 342.21, 472.24 and 202.33 is: 279.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.21 : 472.24 = 202.33 : x
  2. Step 2: Convert to fraction form
    342.21/472.24 = 202.33/x
  3. Step 3: Cross multiply
    342.21x = 472.24 × 202.33
  4. Step 4: Simplify right side
    342.21x = 95,548.32
  5. Step 5: Solve for x
    x = 95,548.32/342.21
  6. Step 6: Final answer
    x = 279.21

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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.