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Finding the Fourth Proportional to 455.53, 683.21 and 130.82

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Solution

The fourth proportional to 455.53, 683.21 and 130.82 is: 196.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.53 : 683.21 = 130.82 : x
  2. Step 2: Convert to fraction form
    455.53/683.21 = 130.82/x
  3. Step 3: Cross multiply
    455.53x = 683.21 × 130.82
  4. Step 4: Simplify right side
    455.53x = 89,377.53
  5. Step 5: Solve for x
    x = 89,377.53/455.53
  6. Step 6: Final answer
    x = 196.21

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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.