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Finding the Fourth Proportional to 454.72, 682.12 and 130.08

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Solution

The fourth proportional to 454.72, 682.12 and 130.08 is: 195.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.72 : 682.12 = 130.08 : x
  2. Step 2: Convert to fraction form
    454.72/682.12 = 130.08/x
  3. Step 3: Cross multiply
    454.72x = 682.12 × 130.08
  4. Step 4: Simplify right side
    454.72x = 88,730.17
  5. Step 5: Solve for x
    x = 88,730.17/454.72
  6. Step 6: Final answer
    x = 195.13

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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.