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Finding the Fourth Proportional to 342.08, 472.06 and 192.71

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Solution

The fourth proportional to 342.08, 472.06 and 192.71 is: 265.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.08 : 472.06 = 192.71 : x
  2. Step 2: Convert to fraction form
    342.08/472.06 = 192.71/x
  3. Step 3: Cross multiply
    342.08x = 472.06 × 192.71
  4. Step 4: Simplify right side
    342.08x = 90,968.54
  5. Step 5: Solve for x
    x = 90,968.54/342.08
  6. Step 6: Final answer
    x = 265.93

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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.