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Finding the Fourth Proportional to 468.06, 701.83 and 159.78

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Solution

The fourth proportional to 468.06, 701.83 and 159.78 is: 239.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.06 : 701.83 = 159.78 : x
  2. Step 2: Convert to fraction form
    468.06/701.83 = 159.78/x
  3. Step 3: Cross multiply
    468.06x = 701.83 × 159.78
  4. Step 4: Simplify right side
    468.06x = 112,141.23
  5. Step 5: Solve for x
    x = 112,141.23/468.06
  6. Step 6: Final answer
    x = 239.59

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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.