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Finding the Fourth Proportional to 268.00, 369.92 and 157.51

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Solution

The fourth proportional to 268.00, 369.92 and 157.51 is: 217.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.00 : 369.92 = 157.51 : x
  2. Step 2: Convert to fraction form
    268.00/369.92 = 157.51/x
  3. Step 3: Cross multiply
    268.00x = 369.92 × 157.51
  4. Step 4: Simplify right side
    268.00x = 58,266.57
  5. Step 5: Solve for x
    x = 58,266.57/268.00
  6. Step 6: Final answer
    x = 217.41

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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.