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Finding the Fourth Proportional to 454.83, 681.84 and 146.49

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Solution

The fourth proportional to 454.83, 681.84 and 146.49 is: 219.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.83 : 681.84 = 146.49 : x
  2. Step 2: Convert to fraction form
    454.83/681.84 = 146.49/x
  3. Step 3: Cross multiply
    454.83x = 681.84 × 146.49
  4. Step 4: Simplify right side
    454.83x = 99,882.74
  5. Step 5: Solve for x
    x = 99,882.74/454.83
  6. Step 6: Final answer
    x = 219.60

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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.