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Finding the Fourth Proportional to 173.14, 238.95 and 117.94

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Solution

The fourth proportional to 173.14, 238.95 and 117.94 is: 162.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.14 : 238.95 = 117.94 : x
  2. Step 2: Convert to fraction form
    173.14/238.95 = 117.94/x
  3. Step 3: Cross multiply
    173.14x = 238.95 × 117.94
  4. Step 4: Simplify right side
    173.14x = 28,181.76
  5. Step 5: Solve for x
    x = 28,181.76/173.14
  6. Step 6: Final answer
    x = 162.77

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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.