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Finding the Fourth Proportional to 488.55, 732.83 and 196.02

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Solution

The fourth proportional to 488.55, 732.83 and 196.02 is: 294.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.55 : 732.83 = 196.02 : x
  2. Step 2: Convert to fraction form
    488.55/732.83 = 196.02/x
  3. Step 3: Cross multiply
    488.55x = 732.83 × 196.02
  4. Step 4: Simplify right side
    488.55x = 143,648.36
  5. Step 5: Solve for x
    x = 143,648.36/488.55
  6. Step 6: Final answer
    x = 294.03

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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.