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Finding the Fourth Proportional to 349.91, 525.08 and 164.78

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Solution

The fourth proportional to 349.91, 525.08 and 164.78 is: 247.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.91 : 525.08 = 164.78 : x
  2. Step 2: Convert to fraction form
    349.91/525.08 = 164.78/x
  3. Step 3: Cross multiply
    349.91x = 525.08 × 164.78
  4. Step 4: Simplify right side
    349.91x = 86,522.68
  5. Step 5: Solve for x
    x = 86,522.68/349.91
  6. Step 6: Final answer
    x = 247.27

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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.