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Finding the Fourth Proportional to 252.95, 349.57 and 190.75

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Solution

The fourth proportional to 252.95, 349.57 and 190.75 is: 263.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.95 : 349.57 = 190.75 : x
  2. Step 2: Convert to fraction form
    252.95/349.57 = 190.75/x
  3. Step 3: Cross multiply
    252.95x = 349.57 × 190.75
  4. Step 4: Simplify right side
    252.95x = 66,681.83
  5. Step 5: Solve for x
    x = 66,681.83/252.95
  6. Step 6: Final answer
    x = 263.62

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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.