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Finding the Fourth Proportional to 342.58, 472.75 and 193.21

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Solution

The fourth proportional to 342.58, 472.75 and 193.21 is: 266.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.58 : 472.75 = 193.21 : x
  2. Step 2: Convert to fraction form
    342.58/472.75 = 193.21/x
  3. Step 3: Cross multiply
    342.58x = 472.75 × 193.21
  4. Step 4: Simplify right side
    342.58x = 91,339.06
  5. Step 5: Solve for x
    x = 91,339.06/342.58
  6. Step 6: Final answer
    x = 266.62

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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.