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Finding the Fourth Proportional to 295, 442.26 and 157.96

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Solution

The fourth proportional to 295, 442.26 and 157.96 is: 236.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    295 : 442.26 = 157.96 : x
  2. Step 2: Convert to fraction form
    295/442.26 = 157.96/x
  3. Step 3: Cross multiply
    295x = 442.26 × 157.96
  4. Step 4: Simplify right side
    295x = 69,859.39
  5. Step 5: Solve for x
    x = 69,859.39/295
  6. Step 6: Final answer
    x = 236.81

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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.