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Finding the Fourth Proportional to 208.66, 312.98 and 122.05

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Solution

The fourth proportional to 208.66, 312.98 and 122.05 is: 183.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.66 : 312.98 = 122.05 : x
  2. Step 2: Convert to fraction form
    208.66/312.98 = 122.05/x
  3. Step 3: Cross multiply
    208.66x = 312.98 × 122.05
  4. Step 4: Simplify right side
    208.66x = 38,199.21
  5. Step 5: Solve for x
    x = 38,199.21/208.66
  6. Step 6: Final answer
    x = 183.07

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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.