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Finding the Fourth Proportional to 268.72, 402.67 and 159.06

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Solution

The fourth proportional to 268.72, 402.67 and 159.06 is: 238.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.72 : 402.67 = 159.06 : x
  2. Step 2: Convert to fraction form
    268.72/402.67 = 159.06/x
  3. Step 3: Cross multiply
    268.72x = 402.67 × 159.06
  4. Step 4: Simplify right side
    268.72x = 64,050.40
  5. Step 5: Solve for x
    x = 64,050.40/268.72
  6. Step 6: Final answer
    x = 238.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.