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Finding the Fourth Proportional to 174.00, 239.89 and 144.52

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Solution

The fourth proportional to 174.00, 239.89 and 144.52 is: 199.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.00 : 239.89 = 144.52 : x
  2. Step 2: Convert to fraction form
    174.00/239.89 = 144.52/x
  3. Step 3: Cross multiply
    174.00x = 239.89 × 144.52
  4. Step 4: Simplify right side
    174.00x = 34,666.98
  5. Step 5: Solve for x
    x = 34,666.98/174.00
  6. Step 6: Final answer
    x = 199.24

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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.