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Finding the Fourth Proportional to 345.30, 517.72 and 169.58

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Solution

The fourth proportional to 345.30, 517.72 and 169.58 is: 254.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.30 : 517.72 = 169.58 : x
  2. Step 2: Convert to fraction form
    345.30/517.72 = 169.58/x
  3. Step 3: Cross multiply
    345.30x = 517.72 × 169.58
  4. Step 4: Simplify right side
    345.30x = 87,794.96
  5. Step 5: Solve for x
    x = 87,794.96/345.30
  6. Step 6: Final answer
    x = 254.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.