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Finding the Fourth Proportional to 174.50, 240.78 and 119.22

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Solution

The fourth proportional to 174.50, 240.78 and 119.22 is: 164.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.50 : 240.78 = 119.22 : x
  2. Step 2: Convert to fraction form
    174.50/240.78 = 119.22/x
  3. Step 3: Cross multiply
    174.50x = 240.78 × 119.22
  4. Step 4: Simplify right side
    174.50x = 28,705.79
  5. Step 5: Solve for x
    x = 28,705.79/174.50
  6. Step 6: Final answer
    x = 164.50

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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.