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Finding the Fourth Proportional to 215.94, 322.62 and 208.80

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Solution

The fourth proportional to 215.94, 322.62 and 208.80 is: 311.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.94 : 322.62 = 208.80 : x
  2. Step 2: Convert to fraction form
    215.94/322.62 = 208.80/x
  3. Step 3: Cross multiply
    215.94x = 322.62 × 208.80
  4. Step 4: Simplify right side
    215.94x = 67,363.06
  5. Step 5: Solve for x
    x = 67,363.06/215.94
  6. Step 6: Final answer
    x = 311.95

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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.