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Finding the Fourth Proportional to 268.36, 402.46 and 124.20

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Solution

The fourth proportional to 268.36, 402.46 and 124.20 is: 186.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.36 : 402.46 = 124.20 : x
  2. Step 2: Convert to fraction form
    268.36/402.46 = 124.20/x
  3. Step 3: Cross multiply
    268.36x = 402.46 × 124.20
  4. Step 4: Simplify right side
    268.36x = 49,985.53
  5. Step 5: Solve for x
    x = 49,985.53/268.36
  6. Step 6: Final answer
    x = 186.26

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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.