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Finding the Fourth Proportional to 294.87, 442.11 and 157.98

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Solution

The fourth proportional to 294.87, 442.11 and 157.98 is: 236.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.87 : 442.11 = 157.98 : x
  2. Step 2: Convert to fraction form
    294.87/442.11 = 157.98/x
  3. Step 3: Cross multiply
    294.87x = 442.11 × 157.98
  4. Step 4: Simplify right side
    294.87x = 69,844.54
  5. Step 5: Solve for x
    x = 69,844.54/294.87
  6. Step 6: Final answer
    x = 236.87

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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.