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Finding the Fourth Proportional to 299.95, 450.06 and 145.99

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Solution

The fourth proportional to 299.95, 450.06 and 145.99 is: 219.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.95 : 450.06 = 145.99 : x
  2. Step 2: Convert to fraction form
    299.95/450.06 = 145.99/x
  3. Step 3: Cross multiply
    299.95x = 450.06 × 145.99
  4. Step 4: Simplify right side
    299.95x = 65,701.74
  5. Step 5: Solve for x
    x = 65,701.74/299.95
  6. Step 6: Final answer
    x = 219.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.