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Finding the Fourth Proportional to 347.06, 478.78 and 199.61

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Solution

The fourth proportional to 347.06, 478.78 and 199.61 is: 275.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.06 : 478.78 = 199.61 : x
  2. Step 2: Convert to fraction form
    347.06/478.78 = 199.61/x
  3. Step 3: Cross multiply
    347.06x = 478.78 × 199.61
  4. Step 4: Simplify right side
    347.06x = 95,566.38
  5. Step 5: Solve for x
    x = 95,566.38/347.06
  6. Step 6: Final answer
    x = 275.36

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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.