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Finding the Fourth Proportional to 239.00, 357.85 and 136.14

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Solution

The fourth proportional to 239.00, 357.85 and 136.14 is: 203.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.00 : 357.85 = 136.14 : x
  2. Step 2: Convert to fraction form
    239.00/357.85 = 136.14/x
  3. Step 3: Cross multiply
    239.00x = 357.85 × 136.14
  4. Step 4: Simplify right side
    239.00x = 48,717.87
  5. Step 5: Solve for x
    x = 48,717.87/239.00
  6. Step 6: Final answer
    x = 203.84

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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.