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Finding the Fourth Proportional to 279.88, 420.06 and 223.24

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Solution

The fourth proportional to 279.88, 420.06 and 223.24 is: 335.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.88 : 420.06 = 223.24 : x
  2. Step 2: Convert to fraction form
    279.88/420.06 = 223.24/x
  3. Step 3: Cross multiply
    279.88x = 420.06 × 223.24
  4. Step 4: Simplify right side
    279.88x = 93,774.19
  5. Step 5: Solve for x
    x = 93,774.19/279.88
  6. Step 6: Final answer
    x = 335.05

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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.