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Finding the Fourth Proportional to 213.84, 319.55 and 208.98

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Solution

The fourth proportional to 213.84, 319.55 and 208.98 is: 312.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.84 : 319.55 = 208.98 : x
  2. Step 2: Convert to fraction form
    213.84/319.55 = 208.98/x
  3. Step 3: Cross multiply
    213.84x = 319.55 × 208.98
  4. Step 4: Simplify right side
    213.84x = 66,778.51
  5. Step 5: Solve for x
    x = 66,778.51/213.84
  6. Step 6: Final answer
    x = 312.28

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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.