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Finding the Fourth Proportional to 280.24, 415.12 and 279.76

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Solution

The fourth proportional to 280.24, 415.12 and 279.76 is: 414.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.24 : 415.12 = 279.76 : x
  2. Step 2: Convert to fraction form
    280.24/415.12 = 279.76/x
  3. Step 3: Cross multiply
    280.24x = 415.12 × 279.76
  4. Step 4: Simplify right side
    280.24x = 116,133.97
  5. Step 5: Solve for x
    x = 116,133.97/280.24
  6. Step 6: Final answer
    x = 414.41

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.