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Finding the Fourth Proportional to 454.94, 682.52 and 130.30

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Solution

The fourth proportional to 454.94, 682.52 and 130.30 is: 195.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.94 : 682.52 = 130.30 : x
  2. Step 2: Convert to fraction form
    454.94/682.52 = 130.30/x
  3. Step 3: Cross multiply
    454.94x = 682.52 × 130.30
  4. Step 4: Simplify right side
    454.94x = 88,932.36
  5. Step 5: Solve for x
    x = 88,932.36/454.94
  6. Step 6: Final answer
    x = 195.48

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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.