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Finding the Fourth Proportional to 215.96, 321.57 and 208.17

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Solution

The fourth proportional to 215.96, 321.57 and 208.17 is: 309.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.96 : 321.57 = 208.17 : x
  2. Step 2: Convert to fraction form
    215.96/321.57 = 208.17/x
  3. Step 3: Cross multiply
    215.96x = 321.57 × 208.17
  4. Step 4: Simplify right side
    215.96x = 66,941.23
  5. Step 5: Solve for x
    x = 66,941.23/215.96
  6. Step 6: Final answer
    x = 309.98

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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.