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Finding the Fourth Proportional to 238.82, 359.47 and 170.81

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Solution

The fourth proportional to 238.82, 359.47 and 170.81 is: 257.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.82 : 359.47 = 170.81 : x
  2. Step 2: Convert to fraction form
    238.82/359.47 = 170.81/x
  3. Step 3: Cross multiply
    238.82x = 359.47 × 170.81
  4. Step 4: Simplify right side
    238.82x = 61,400.83
  5. Step 5: Solve for x
    x = 61,400.83/238.82
  6. Step 6: Final answer
    x = 257.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.