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Finding the Fourth Proportional to 279.15, 418.83 and 157.40

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Solution

The fourth proportional to 279.15, 418.83 and 157.40 is: 236.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.15 : 418.83 = 157.40 : x
  2. Step 2: Convert to fraction form
    279.15/418.83 = 157.40/x
  3. Step 3: Cross multiply
    279.15x = 418.83 × 157.40
  4. Step 4: Simplify right side
    279.15x = 65,921.75
  5. Step 5: Solve for x
    x = 65,921.75/279.15
  6. Step 6: Final answer
    x = 236.15

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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.