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Finding the Fourth Proportional to 215.02, 320.45 and 205.96

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Solution

The fourth proportional to 215.02, 320.45 and 205.96 is: 306.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.02 : 320.45 = 205.96 : x
  2. Step 2: Convert to fraction form
    215.02/320.45 = 205.96/x
  3. Step 3: Cross multiply
    215.02x = 320.45 × 205.96
  4. Step 4: Simplify right side
    215.02x = 65,999.88
  5. Step 5: Solve for x
    x = 65,999.88/215.02
  6. Step 6: Final answer
    x = 306.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.