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Finding the Fourth Proportional to 174.46, 240.50 and 172.14

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Solution

The fourth proportional to 174.46, 240.50 and 172.14 is: 237.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.46 : 240.50 = 172.14 : x
  2. Step 2: Convert to fraction form
    174.46/240.50 = 172.14/x
  3. Step 3: Cross multiply
    174.46x = 240.50 × 172.14
  4. Step 4: Simplify right side
    174.46x = 41,399.67
  5. Step 5: Solve for x
    x = 41,399.67/174.46
  6. Step 6: Final answer
    x = 237.30

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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.