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Finding the Fourth Proportional to 238.63, 358 and 67.63

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Solution

The fourth proportional to 238.63, 358 and 67.63 is: 101.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.63 : 358 = 67.63 : x
  2. Step 2: Convert to fraction form
    238.63/358 = 67.63/x
  3. Step 3: Cross multiply
    238.63x = 358 × 67.63
  4. Step 4: Simplify right side
    238.63x = 24,211.54
  5. Step 5: Solve for x
    x = 24,211.54/238.63
  6. Step 6: Final answer
    x = 101.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.