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Finding the Fourth Proportional to 300.53, 447.84 and 290.74

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Solution

The fourth proportional to 300.53, 447.84 and 290.74 is: 433.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.53 : 447.84 = 290.74 : x
  2. Step 2: Convert to fraction form
    300.53/447.84 = 290.74/x
  3. Step 3: Cross multiply
    300.53x = 447.84 × 290.74
  4. Step 4: Simplify right side
    300.53x = 130,205.00
  5. Step 5: Solve for x
    x = 130,205.00/300.53
  6. Step 6: Final answer
    x = 433.25

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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.