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Finding the Fourth Proportional to 279.91, 419.65 and 158.00

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Solution

The fourth proportional to 279.91, 419.65 and 158.00 is: 236.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.91 : 419.65 = 158.00 : x
  2. Step 2: Convert to fraction form
    279.91/419.65 = 158.00/x
  3. Step 3: Cross multiply
    279.91x = 419.65 × 158.00
  4. Step 4: Simplify right side
    279.91x = 66,304.57
  5. Step 5: Solve for x
    x = 66,304.57/279.91
  6. Step 6: Final answer
    x = 236.88

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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.