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Finding the Fourth Proportional to 252.93, 349.05 and 190.83

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Solution

The fourth proportional to 252.93, 349.05 and 190.83 is: 263.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.93 : 349.05 = 190.83 : x
  2. Step 2: Convert to fraction form
    252.93/349.05 = 190.83/x
  3. Step 3: Cross multiply
    252.93x = 349.05 × 190.83
  4. Step 4: Simplify right side
    252.93x = 66,609.21
  5. Step 5: Solve for x
    x = 66,609.21/252.93
  6. Step 6: Final answer
    x = 263.35

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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.