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Finding the Fourth Proportional to 174.80, 239.62 and 172.10

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Solution

The fourth proportional to 174.80, 239.62 and 172.10 is: 235.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.80 : 239.62 = 172.10 : x
  2. Step 2: Convert to fraction form
    174.80/239.62 = 172.10/x
  3. Step 3: Cross multiply
    174.80x = 239.62 × 172.10
  4. Step 4: Simplify right side
    174.80x = 41,238.60
  5. Step 5: Solve for x
    x = 41,238.60/174.80
  6. Step 6: Final answer
    x = 235.92

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.