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Finding the Fourth Proportional to 347.08, 478.91 and 199.66

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Solution

The fourth proportional to 347.08, 478.91 and 199.66 is: 275.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.08 : 478.91 = 199.66 : x
  2. Step 2: Convert to fraction form
    347.08/478.91 = 199.66/x
  3. Step 3: Cross multiply
    347.08x = 478.91 × 199.66
  4. Step 4: Simplify right side
    347.08x = 95,619.17
  5. Step 5: Solve for x
    x = 95,619.17/347.08
  6. Step 6: Final answer
    x = 275.50

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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.