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Finding the Fourth Proportional to 301.88, 449.85 and 292.08

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Solution

The fourth proportional to 301.88, 449.85 and 292.08 is: 435.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.88 : 449.85 = 292.08 : x
  2. Step 2: Convert to fraction form
    301.88/449.85 = 292.08/x
  3. Step 3: Cross multiply
    301.88x = 449.85 × 292.08
  4. Step 4: Simplify right side
    301.88x = 131,392.19
  5. Step 5: Solve for x
    x = 131,392.19/301.88
  6. Step 6: Final answer
    x = 435.25

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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.