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Finding the Fourth Proportional to 280.54, 421.62 and 260.44

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Solution

The fourth proportional to 280.54, 421.62 and 260.44 is: 391.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.54 : 421.62 = 260.44 : x
  2. Step 2: Convert to fraction form
    280.54/421.62 = 260.44/x
  3. Step 3: Cross multiply
    280.54x = 421.62 × 260.44
  4. Step 4: Simplify right side
    280.54x = 109,806.71
  5. Step 5: Solve for x
    x = 109,806.71/280.54
  6. Step 6: Final answer
    x = 391.41

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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.