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Finding the Fourth Proportional to 239.24, 358.86 and 131.24

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Solution

The fourth proportional to 239.24, 358.86 and 131.24 is: 196.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.24 : 358.86 = 131.24 : x
  2. Step 2: Convert to fraction form
    239.24/358.86 = 131.24/x
  3. Step 3: Cross multiply
    239.24x = 358.86 × 131.24
  4. Step 4: Simplify right side
    239.24x = 47,094.99
  5. Step 5: Solve for x
    x = 47,094.99/239.24
  6. Step 6: Final answer
    x = 196.86

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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.