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Finding the Fourth Proportional to 347.24, 479.20 and 199.88

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Solution

The fourth proportional to 347.24, 479.20 and 199.88 is: 275.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.24 : 479.20 = 199.88 : x
  2. Step 2: Convert to fraction form
    347.24/479.20 = 199.88/x
  3. Step 3: Cross multiply
    347.24x = 479.20 × 199.88
  4. Step 4: Simplify right side
    347.24x = 95,782.50
  5. Step 5: Solve for x
    x = 95,782.50/347.24
  6. Step 6: Final answer
    x = 275.84

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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.