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Finding the Fourth Proportional to 174.02, 239.87 and 137.12

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Solution

The fourth proportional to 174.02, 239.87 and 137.12 is: 189.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.02 : 239.87 = 137.12 : x
  2. Step 2: Convert to fraction form
    174.02/239.87 = 137.12/x
  3. Step 3: Cross multiply
    174.02x = 239.87 × 137.12
  4. Step 4: Simplify right side
    174.02x = 32,889.09
  5. Step 5: Solve for x
    x = 32,889.09/174.02
  6. Step 6: Final answer
    x = 189.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.