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Finding the Fourth Proportional to 489.40, 675.02 and 302.68

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Solution

The fourth proportional to 489.40, 675.02 and 302.68 is: 417.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.40 : 675.02 = 302.68 : x
  2. Step 2: Convert to fraction form
    489.40/675.02 = 302.68/x
  3. Step 3: Cross multiply
    489.40x = 675.02 × 302.68
  4. Step 4: Simplify right side
    489.40x = 204,315.05
  5. Step 5: Solve for x
    x = 204,315.05/489.40
  6. Step 6: Final answer
    x = 417.48

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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.