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Finding the Fourth Proportional to 263.06, 362.91 and 158.12

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Solution

The fourth proportional to 263.06, 362.91 and 158.12 is: 218.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.06 : 362.91 = 158.12 : x
  2. Step 2: Convert to fraction form
    263.06/362.91 = 158.12/x
  3. Step 3: Cross multiply
    263.06x = 362.91 × 158.12
  4. Step 4: Simplify right side
    263.06x = 57,383.33
  5. Step 5: Solve for x
    x = 57,383.33/263.06
  6. Step 6: Final answer
    x = 218.14

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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.