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Finding the Fourth Proportional to 489.80, 735.00 and 201.23

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Solution

The fourth proportional to 489.80, 735.00 and 201.23 is: 301.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.80 : 735.00 = 201.23 : x
  2. Step 2: Convert to fraction form
    489.80/735.00 = 201.23/x
  3. Step 3: Cross multiply
    489.80x = 735.00 × 201.23
  4. Step 4: Simplify right side
    489.80x = 147,907.08
  5. Step 5: Solve for x
    x = 147,907.08/489.80
  6. Step 6: Final answer
    x = 301.98

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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.