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Finding the Fourth Proportional to 172.58, 238.17 and 143.42

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Solution

The fourth proportional to 172.58, 238.17 and 143.42 is: 197.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.58 : 238.17 = 143.42 : x
  2. Step 2: Convert to fraction form
    172.58/238.17 = 143.42/x
  3. Step 3: Cross multiply
    172.58x = 238.17 × 143.42
  4. Step 4: Simplify right side
    172.58x = 34,158.34
  5. Step 5: Solve for x
    x = 34,158.34/172.58
  6. Step 6: Final answer
    x = 197.93

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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.