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Finding the Fourth Proportional to 238.06, 358.45 and 166.39

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Solution

The fourth proportional to 238.06, 358.45 and 166.39 is: 250.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.06 : 358.45 = 166.39 : x
  2. Step 2: Convert to fraction form
    238.06/358.45 = 166.39/x
  3. Step 3: Cross multiply
    238.06x = 358.45 × 166.39
  4. Step 4: Simplify right side
    238.06x = 59,642.50
  5. Step 5: Solve for x
    x = 59,642.50/238.06
  6. Step 6: Final answer
    x = 250.54

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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.