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Finding the Fourth Proportional to 301.58, 450.15 and 280.18

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Solution

The fourth proportional to 301.58, 450.15 and 280.18 is: 418.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.58 : 450.15 = 280.18 : x
  2. Step 2: Convert to fraction form
    301.58/450.15 = 280.18/x
  3. Step 3: Cross multiply
    301.58x = 450.15 × 280.18
  4. Step 4: Simplify right side
    301.58x = 126,123.03
  5. Step 5: Solve for x
    x = 126,123.03/301.58
  6. Step 6: Final answer
    x = 418.21

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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.