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Finding the Fourth Proportional to 489.91, 676.05 and 293.53

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Solution

The fourth proportional to 489.91, 676.05 and 293.53 is: 405.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.91 : 676.05 = 293.53 : x
  2. Step 2: Convert to fraction form
    489.91/676.05 = 293.53/x
  3. Step 3: Cross multiply
    489.91x = 676.05 × 293.53
  4. Step 4: Simplify right side
    489.91x = 198,438.53
  5. Step 5: Solve for x
    x = 198,438.53/489.91
  6. Step 6: Final answer
    x = 405.05

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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.