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Finding the Fourth Proportional to 294.67, 441.87 and 157.68

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Solution

The fourth proportional to 294.67, 441.87 and 157.68 is: 236.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.67 : 441.87 = 157.68 : x
  2. Step 2: Convert to fraction form
    294.67/441.87 = 157.68/x
  3. Step 3: Cross multiply
    294.67x = 441.87 × 157.68
  4. Step 4: Simplify right side
    294.67x = 69,674.06
  5. Step 5: Solve for x
    x = 69,674.06/294.67
  6. Step 6: Final answer
    x = 236.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.