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Finding the Fourth Proportional to 363.14, 544.71 and 146.74

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Solution

The fourth proportional to 363.14, 544.71 and 146.74 is: 220.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.14 : 544.71 = 146.74 : x
  2. Step 2: Convert to fraction form
    363.14/544.71 = 146.74/x
  3. Step 3: Cross multiply
    363.14x = 544.71 × 146.74
  4. Step 4: Simplify right side
    363.14x = 79,928.02
  5. Step 5: Solve for x
    x = 79,928.02/363.14
  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.