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Finding the Fourth Proportional to 279.38, 418.86 and 106.00

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Solution

The fourth proportional to 279.38, 418.86 and 106.00 is: 158.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.38 : 418.86 = 106.00 : x
  2. Step 2: Convert to fraction form
    279.38/418.86 = 106.00/x
  3. Step 3: Cross multiply
    279.38x = 418.86 × 106.00
  4. Step 4: Simplify right side
    279.38x = 44,398.11
  5. Step 5: Solve for x
    x = 44,398.11/279.38
  6. Step 6: Final answer
    x = 158.92

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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.