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Finding the Fourth Proportional to 301.90, 449.73 and 292.84

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Solution

The fourth proportional to 301.90, 449.73 and 292.84 is: 436.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.90 : 449.73 = 292.84 : x
  2. Step 2: Convert to fraction form
    301.90/449.73 = 292.84/x
  3. Step 3: Cross multiply
    301.90x = 449.73 × 292.84
  4. Step 4: Simplify right side
    301.90x = 131,698.93
  5. Step 5: Solve for x
    x = 131,698.93/301.90
  6. Step 6: Final answer
    x = 436.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.