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Finding the Fourth Proportional to 301.50, 450.15 and 283.05

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Solution

The fourth proportional to 301.50, 450.15 and 283.05 is: 422.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.50 : 450.15 = 283.05 : x
  2. Step 2: Convert to fraction form
    301.50/450.15 = 283.05/x
  3. Step 3: Cross multiply
    301.50x = 450.15 × 283.05
  4. Step 4: Simplify right side
    301.50x = 127,414.96
  5. Step 5: Solve for x
    x = 127,414.96/301.50
  6. Step 6: Final answer
    x = 422.60

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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.