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Finding the Fourth Proportional to 455.30, 682.02 and 300.84

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Solution

The fourth proportional to 455.30, 682.02 and 300.84 is: 450.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.30 : 682.02 = 300.84 : x
  2. Step 2: Convert to fraction form
    455.30/682.02 = 300.84/x
  3. Step 3: Cross multiply
    455.30x = 682.02 × 300.84
  4. Step 4: Simplify right side
    455.30x = 205,178.90
  5. Step 5: Solve for x
    x = 205,178.90/455.30
  6. Step 6: Final answer
    x = 450.65

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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.