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Finding the Fourth Proportional to 344.90, 475.98 and 189.66

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Solution

The fourth proportional to 344.90, 475.98 and 189.66 is: 261.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.90 : 475.98 = 189.66 : x
  2. Step 2: Convert to fraction form
    344.90/475.98 = 189.66/x
  3. Step 3: Cross multiply
    344.90x = 475.98 × 189.66
  4. Step 4: Simplify right side
    344.90x = 90,274.37
  5. Step 5: Solve for x
    x = 90,274.37/344.90
  6. Step 6: Final answer
    x = 261.74

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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.