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Finding the Fourth Proportional to 363.21, 544.80 and 146.79

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Solution

The fourth proportional to 363.21, 544.80 and 146.79 is: 220.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.21 : 544.80 = 146.79 : x
  2. Step 2: Convert to fraction form
    363.21/544.80 = 146.79/x
  3. Step 3: Cross multiply
    363.21x = 544.80 × 146.79
  4. Step 4: Simplify right side
    363.21x = 79,971.19
  5. Step 5: Solve for x
    x = 79,971.19/363.21
  6. Step 6: Final answer
    x = 220.18

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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.