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Finding the Fourth Proportional to 489.85, 675.98 and 290.68

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Solution

The fourth proportional to 489.85, 675.98 and 290.68 is: 401.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.85 : 675.98 = 290.68 : x
  2. Step 2: Convert to fraction form
    489.85/675.98 = 290.68/x
  3. Step 3: Cross multiply
    489.85x = 675.98 × 290.68
  4. Step 4: Simplify right side
    489.85x = 196,493.87
  5. Step 5: Solve for x
    x = 196,493.87/489.85
  6. Step 6: Final answer
    x = 401.13

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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.