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Finding the Fourth Proportional to 268.58, 402.98 and 86.02

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Solution

The fourth proportional to 268.58, 402.98 and 86.02 is: 129.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.58 : 402.98 = 86.02 : x
  2. Step 2: Convert to fraction form
    268.58/402.98 = 86.02/x
  3. Step 3: Cross multiply
    268.58x = 402.98 × 86.02
  4. Step 4: Simplify right side
    268.58x = 34,662.90
  5. Step 5: Solve for x
    x = 34,662.90/268.58
  6. Step 6: Final answer
    x = 129.06

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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.