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Finding the Fourth Proportional to 344.25, 475.06 and 186.88

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Solution

The fourth proportional to 344.25, 475.06 and 186.88 is: 257.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.25 : 475.06 = 186.88 : x
  2. Step 2: Convert to fraction form
    344.25/475.06 = 186.88/x
  3. Step 3: Cross multiply
    344.25x = 475.06 × 186.88
  4. Step 4: Simplify right side
    344.25x = 88,779.21
  5. Step 5: Solve for x
    x = 88,779.21/344.25
  6. Step 6: Final answer
    x = 257.89

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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.