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Finding the Fourth Proportional to 172.38, 237.70 and 156

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Solution

The fourth proportional to 172.38, 237.70 and 156 is: 215.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.38 : 237.70 = 156 : x
  2. Step 2: Convert to fraction form
    172.38/237.70 = 156/x
  3. Step 3: Cross multiply
    172.38x = 237.70 × 156
  4. Step 4: Simplify right side
    172.38x = 37,081.20
  5. Step 5: Solve for x
    x = 37,081.20/172.38
  6. Step 6: Final answer
    x = 215.11

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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.