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Finding the Fourth Proportional to 489.38, 675.24 and 302.81

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Solution

The fourth proportional to 489.38, 675.24 and 302.81 is: 417.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.38 : 675.24 = 302.81 : x
  2. Step 2: Convert to fraction form
    489.38/675.24 = 302.81/x
  3. Step 3: Cross multiply
    489.38x = 675.24 × 302.81
  4. Step 4: Simplify right side
    489.38x = 204,469.42
  5. Step 5: Solve for x
    x = 204,469.42/489.38
  6. Step 6: Final answer
    x = 417.81

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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.