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Finding the Fourth Proportional to 454.63, 682 and 146.38

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Solution

The fourth proportional to 454.63, 682 and 146.38 is: 219.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.63 : 682 = 146.38 : x
  2. Step 2: Convert to fraction form
    454.63/682 = 146.38/x
  3. Step 3: Cross multiply
    454.63x = 682 × 146.38
  4. Step 4: Simplify right side
    454.63x = 99,827.75
  5. Step 5: Solve for x
    x = 99,827.75/454.63
  6. Step 6: Final answer
    x = 219.58

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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.