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Finding the Fourth Proportional to 173.76, 238.35 and 170.16

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Solution

The fourth proportional to 173.76, 238.35 and 170.16 is: 233.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.76 : 238.35 = 170.16 : x
  2. Step 2: Convert to fraction form
    173.76/238.35 = 170.16/x
  3. Step 3: Cross multiply
    173.76x = 238.35 × 170.16
  4. Step 4: Simplify right side
    173.76x = 40,557.64
  5. Step 5: Solve for x
    x = 40,557.64/173.76
  6. Step 6: Final answer
    x = 233.41

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.