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Finding the Fourth Proportional to 172.39, 237.86 and 102.43

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Solution

The fourth proportional to 172.39, 237.86 and 102.43 is: 141.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.39 : 237.86 = 102.43 : x
  2. Step 2: Convert to fraction form
    172.39/237.86 = 102.43/x
  3. Step 3: Cross multiply
    172.39x = 237.86 × 102.43
  4. Step 4: Simplify right side
    172.39x = 24,364.00
  5. Step 5: Solve for x
    x = 24,364.00/172.39
  6. Step 6: Final answer
    x = 141.33

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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.