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Finding the Fourth Proportional to 455, 682.34 and 146.77

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Solution

The fourth proportional to 455, 682.34 and 146.77 is: 220.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    455 : 682.34 = 146.77 : x
  2. Step 2: Convert to fraction form
    455/682.34 = 146.77/x
  3. Step 3: Cross multiply
    455x = 682.34 × 146.77
  4. Step 4: Simplify right side
    455x = 100,147.04
  5. Step 5: Solve for x
    x = 100,147.04/455
  6. Step 6: Final answer
    x = 220.10

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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.