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Finding the Fourth Proportional to 165.42, 248.12 and 142.88

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Solution

The fourth proportional to 165.42, 248.12 and 142.88 is: 214.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.42 : 248.12 = 142.88 : x
  2. Step 2: Convert to fraction form
    165.42/248.12 = 142.88/x
  3. Step 3: Cross multiply
    165.42x = 248.12 × 142.88
  4. Step 4: Simplify right side
    165.42x = 35,449.43
  5. Step 5: Solve for x
    x = 35,449.43/165.42
  6. Step 6: Final answer
    x = 214.30

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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.