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Finding the Fourth Proportional to 211.74, 317.78 and 208.74

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Solution

The fourth proportional to 211.74, 317.78 and 208.74 is: 313.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.74 : 317.78 = 208.74 : x
  2. Step 2: Convert to fraction form
    211.74/317.78 = 208.74/x
  3. Step 3: Cross multiply
    211.74x = 317.78 × 208.74
  4. Step 4: Simplify right side
    211.74x = 66,333.40
  5. Step 5: Solve for x
    x = 66,333.40/211.74
  6. Step 6: Final answer
    x = 313.28

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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.