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Finding the Fourth Proportional to 489.80, 735.02 and 215.98

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Solution

The fourth proportional to 489.80, 735.02 and 215.98 is: 324.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.80 : 735.02 = 215.98 : x
  2. Step 2: Convert to fraction form
    489.80/735.02 = 215.98/x
  3. Step 3: Cross multiply
    489.80x = 735.02 × 215.98
  4. Step 4: Simplify right side
    489.80x = 158,749.62
  5. Step 5: Solve for x
    x = 158,749.62/489.80
  6. Step 6: Final answer
    x = 324.11

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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.