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Finding the Fourth Proportional to 211.08, 314.07 and 199.56

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Solution

The fourth proportional to 211.08, 314.07 and 199.56 is: 296.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.08 : 314.07 = 199.56 : x
  2. Step 2: Convert to fraction form
    211.08/314.07 = 199.56/x
  3. Step 3: Cross multiply
    211.08x = 314.07 × 199.56
  4. Step 4: Simplify right side
    211.08x = 62,675.81
  5. Step 5: Solve for x
    x = 62,675.81/211.08
  6. Step 6: Final answer
    x = 296.93

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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.