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Finding the Fourth Proportional to 455.16, 683.07 and 195.15

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Solution

The fourth proportional to 455.16, 683.07 and 195.15 is: 292.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.16 : 683.07 = 195.15 : x
  2. Step 2: Convert to fraction form
    455.16/683.07 = 195.15/x
  3. Step 3: Cross multiply
    455.16x = 683.07 × 195.15
  4. Step 4: Simplify right side
    455.16x = 133,301.11
  5. Step 5: Solve for x
    x = 133,301.11/455.16
  6. Step 6: Final answer
    x = 292.87

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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.