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Finding the Fourth Proportional to 489.54, 675.34 and 293.02

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Solution

The fourth proportional to 489.54, 675.34 and 293.02 is: 404.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.54 : 675.34 = 293.02 : x
  2. Step 2: Convert to fraction form
    489.54/675.34 = 293.02/x
  3. Step 3: Cross multiply
    489.54x = 675.34 × 293.02
  4. Step 4: Simplify right side
    489.54x = 197,885.71
  5. Step 5: Solve for x
    x = 197,885.71/489.54
  6. Step 6: Final answer
    x = 404.22

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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.