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Finding the Fourth Proportional to 489.83, 675.99 and 280.07

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Solution

The fourth proportional to 489.83, 675.99 and 280.07 is: 386.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.83 : 675.99 = 280.07 : x
  2. Step 2: Convert to fraction form
    489.83/675.99 = 280.07/x
  3. Step 3: Cross multiply
    489.83x = 675.99 × 280.07
  4. Step 4: Simplify right side
    489.83x = 189,324.52
  5. Step 5: Solve for x
    x = 189,324.52/489.83
  6. Step 6: Final answer
    x = 386.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.