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Finding the Fourth Proportional to 346.90, 478.59 and 199.48

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Solution

The fourth proportional to 346.90, 478.59 and 199.48 is: 275.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.90 : 478.59 = 199.48 : x
  2. Step 2: Convert to fraction form
    346.90/478.59 = 199.48/x
  3. Step 3: Cross multiply
    346.90x = 478.59 × 199.48
  4. Step 4: Simplify right side
    346.90x = 95,469.13
  5. Step 5: Solve for x
    x = 95,469.13/346.90
  6. Step 6: Final answer
    x = 275.21

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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.