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Finding the Fourth Proportional to 214.75, 319.85 and 208.98

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Solution

The fourth proportional to 214.75, 319.85 and 208.98 is: 311.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.75 : 319.85 = 208.98 : x
  2. Step 2: Convert to fraction form
    214.75/319.85 = 208.98/x
  3. Step 3: Cross multiply
    214.75x = 319.85 × 208.98
  4. Step 4: Simplify right side
    214.75x = 66,841.99
  5. Step 5: Solve for x
    x = 66,841.99/214.75
  6. Step 6: Final answer
    x = 311.25

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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.