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Finding the Fourth Proportional to 279.76, 420.32 and 272.24

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Solution

The fourth proportional to 279.76, 420.32 and 272.24 is: 409.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.76 : 420.32 = 272.24 : x
  2. Step 2: Convert to fraction form
    279.76/420.32 = 272.24/x
  3. Step 3: Cross multiply
    279.76x = 420.32 × 272.24
  4. Step 4: Simplify right side
    279.76x = 114,427.92
  5. Step 5: Solve for x
    x = 114,427.92/279.76
  6. Step 6: Final answer
    x = 409.02

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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.