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Finding the Fourth Proportional to 455.49, 683.51 and 167.13

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Solution

The fourth proportional to 455.49, 683.51 and 167.13 is: 250.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.49 : 683.51 = 167.13 : x
  2. Step 2: Convert to fraction form
    455.49/683.51 = 167.13/x
  3. Step 3: Cross multiply
    455.49x = 683.51 × 167.13
  4. Step 4: Simplify right side
    455.49x = 114,234.19
  5. Step 5: Solve for x
    x = 114,234.19/455.49
  6. Step 6: Final answer
    x = 250.79

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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.