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Finding the Fourth Proportional to 172.23, 237.69 and 137.40

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Solution

The fourth proportional to 172.23, 237.69 and 137.40 is: 189.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.23 : 237.69 = 137.40 : x
  2. Step 2: Convert to fraction form
    172.23/237.69 = 137.40/x
  3. Step 3: Cross multiply
    172.23x = 237.69 × 137.40
  4. Step 4: Simplify right side
    172.23x = 32,658.61
  5. Step 5: Solve for x
    x = 32,658.61/172.23
  6. Step 6: Final answer
    x = 189.62

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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.