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Finding the Fourth Proportional to 252.56, 348.63 and 194.51

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Solution

The fourth proportional to 252.56, 348.63 and 194.51 is: 268.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.56 : 348.63 = 194.51 : x
  2. Step 2: Convert to fraction form
    252.56/348.63 = 194.51/x
  3. Step 3: Cross multiply
    252.56x = 348.63 × 194.51
  4. Step 4: Simplify right side
    252.56x = 67,812.02
  5. Step 5: Solve for x
    x = 67,812.02/252.56
  6. Step 6: Final answer
    x = 268.50

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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.