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Finding the Fourth Proportional to 347.45, 479.46 and 192.20

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Solution

The fourth proportional to 347.45, 479.46 and 192.20 is: 265.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.45 : 479.46 = 192.20 : x
  2. Step 2: Convert to fraction form
    347.45/479.46 = 192.20/x
  3. Step 3: Cross multiply
    347.45x = 479.46 × 192.20
  4. Step 4: Simplify right side
    347.45x = 92,149.81
  5. Step 5: Solve for x
    x = 92,149.81/347.45
  6. Step 6: Final answer
    x = 265.22

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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.