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Finding the Fourth Proportional to 279.65, 419.17 and 238.95

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Solution

The fourth proportional to 279.65, 419.17 and 238.95 is: 358.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.65 : 419.17 = 238.95 : x
  2. Step 2: Convert to fraction form
    279.65/419.17 = 238.95/x
  3. Step 3: Cross multiply
    279.65x = 419.17 × 238.95
  4. Step 4: Simplify right side
    279.65x = 100,158.95
  5. Step 5: Solve for x
    x = 100,158.95/279.65
  6. Step 6: Final answer
    x = 358.16

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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.