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Finding the Fourth Proportional to 223.95, 309 and 141.06

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Solution

The fourth proportional to 223.95, 309 and 141.06 is: 194.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.95 : 309 = 141.06 : x
  2. Step 2: Convert to fraction form
    223.95/309 = 141.06/x
  3. Step 3: Cross multiply
    223.95x = 309 × 141.06
  4. Step 4: Simplify right side
    223.95x = 43,587.54
  5. Step 5: Solve for x
    x = 43,587.54/223.95
  6. Step 6: Final answer
    x = 194.63

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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.