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Finding the Fourth Proportional to 489.05, 674.90 and 290.01

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Solution

The fourth proportional to 489.05, 674.90 and 290.01 is: 400.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.05 : 674.90 = 290.01 : x
  2. Step 2: Convert to fraction form
    489.05/674.90 = 290.01/x
  3. Step 3: Cross multiply
    489.05x = 674.90 × 290.01
  4. Step 4: Simplify right side
    489.05x = 195,726.30
  5. Step 5: Solve for x
    x = 195,726.30/489.05
  6. Step 6: Final answer
    x = 400.22

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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.