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Finding the Fourth Proportional to 347.75, 479.90 and 192.50

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Solution

The fourth proportional to 347.75, 479.90 and 192.50 is: 265.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.75 : 479.90 = 192.50 : x
  2. Step 2: Convert to fraction form
    347.75/479.90 = 192.50/x
  3. Step 3: Cross multiply
    347.75x = 479.90 × 192.50
  4. Step 4: Simplify right side
    347.75x = 92,380.75
  5. Step 5: Solve for x
    x = 92,380.75/347.75
  6. Step 6: Final answer
    x = 265.65

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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.