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Finding the Fourth Proportional to 268.01, 367.94 and 256.16

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Solution

The fourth proportional to 268.01, 367.94 and 256.16 is: 351.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.01 : 367.94 = 256.16 : x
  2. Step 2: Convert to fraction form
    268.01/367.94 = 256.16/x
  3. Step 3: Cross multiply
    268.01x = 367.94 × 256.16
  4. Step 4: Simplify right side
    268.01x = 94,253.07
  5. Step 5: Solve for x
    x = 94,253.07/268.01
  6. Step 6: Final answer
    x = 351.68

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.