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Finding the Fourth Proportional to 211.36, 314.81 and 206.68

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Solution

The fourth proportional to 211.36, 314.81 and 206.68 is: 307.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.36 : 314.81 = 206.68 : x
  2. Step 2: Convert to fraction form
    211.36/314.81 = 206.68/x
  3. Step 3: Cross multiply
    211.36x = 314.81 × 206.68
  4. Step 4: Simplify right side
    211.36x = 65,064.93
  5. Step 5: Solve for x
    x = 65,064.93/211.36
  6. Step 6: Final answer
    x = 307.84

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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.