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Finding the Fourth Proportional to 279.68, 418.75 and 211.00

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Solution

The fourth proportional to 279.68, 418.75 and 211.00 is: 315.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.68 : 418.75 = 211.00 : x
  2. Step 2: Convert to fraction form
    279.68/418.75 = 211.00/x
  3. Step 3: Cross multiply
    279.68x = 418.75 × 211.00
  4. Step 4: Simplify right side
    279.68x = 88,353.63
  5. Step 5: Solve for x
    x = 88,353.63/279.68
  6. Step 6: Final answer
    x = 315.91

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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.