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Finding the Fourth Proportional to 393.16, 588.12 and 300.84

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Solution

The fourth proportional to 393.16, 588.12 and 300.84 is: 450.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.16 : 588.12 = 300.84 : x
  2. Step 2: Convert to fraction form
    393.16/588.12 = 300.84/x
  3. Step 3: Cross multiply
    393.16x = 588.12 × 300.84
  4. Step 4: Simplify right side
    393.16x = 176,930.02
  5. Step 5: Solve for x
    x = 176,930.02/393.16
  6. Step 6: Final answer
    x = 450.02

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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.