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Finding the Fourth Proportional to 172.50, 238.16 and 135.57

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Solution

The fourth proportional to 172.50, 238.16 and 135.57 is: 187.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.50 : 238.16 = 135.57 : x
  2. Step 2: Convert to fraction form
    172.50/238.16 = 135.57/x
  3. Step 3: Cross multiply
    172.50x = 238.16 × 135.57
  4. Step 4: Simplify right side
    172.50x = 32,286.67
  5. Step 5: Solve for x
    x = 32,286.67/172.50
  6. Step 6: Final answer
    x = 187.17

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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.