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Finding the Fourth Proportional to 238.66, 357.18 and 142

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Solution

The fourth proportional to 238.66, 357.18 and 142 is: 212.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.66 : 357.18 = 142 : x
  2. Step 2: Convert to fraction form
    238.66/357.18 = 142/x
  3. Step 3: Cross multiply
    238.66x = 357.18 × 142
  4. Step 4: Simplify right side
    238.66x = 50,719.56
  5. Step 5: Solve for x
    x = 50,719.56/238.66
  6. Step 6: Final answer
    x = 212.52

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Why These Related Problems?

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