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Finding the Fourth Proportional to 455.69, 683.57 and 131.06

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Solution

The fourth proportional to 455.69, 683.57 and 131.06 is: 196.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.69 : 683.57 = 131.06 : x
  2. Step 2: Convert to fraction form
    455.69/683.57 = 131.06/x
  3. Step 3: Cross multiply
    455.69x = 683.57 × 131.06
  4. Step 4: Simplify right side
    455.69x = 89,588.68
  5. Step 5: Solve for x
    x = 89,588.68/455.69
  6. Step 6: Final answer
    x = 196.60

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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.