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Finding the Fourth Proportional to 488.50, 732.76 and 200.14

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Solution

The fourth proportional to 488.50, 732.76 and 200.14 is: 300.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.50 : 732.76 = 200.14 : x
  2. Step 2: Convert to fraction form
    488.50/732.76 = 200.14/x
  3. Step 3: Cross multiply
    488.50x = 732.76 × 200.14
  4. Step 4: Simplify right side
    488.50x = 146,654.59
  5. Step 5: Solve for x
    x = 146,654.59/488.50
  6. Step 6: Final answer
    x = 300.21

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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.