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Finding the Fourth Proportional to 280.35, 417.38 and 279

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Solution

The fourth proportional to 280.35, 417.38 and 279 is: 415.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.35 : 417.38 = 279 : x
  2. Step 2: Convert to fraction form
    280.35/417.38 = 279/x
  3. Step 3: Cross multiply
    280.35x = 417.38 × 279
  4. Step 4: Simplify right side
    280.35x = 116,448.67
  5. Step 5: Solve for x
    x = 116,448.67/280.35
  6. Step 6: Final answer
    x = 415.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.