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Finding the Fourth Proportional to 174.61, 241.23 and 137.40

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Solution

The fourth proportional to 174.61, 241.23 and 137.40 is: 189.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.61 : 241.23 = 137.40 : x
  2. Step 2: Convert to fraction form
    174.61/241.23 = 137.40/x
  3. Step 3: Cross multiply
    174.61x = 241.23 × 137.40
  4. Step 4: Simplify right side
    174.61x = 33,145.00
  5. Step 5: Solve for x
    x = 33,145.00/174.61
  6. Step 6: Final answer
    x = 189.82

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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.