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Finding the Fourth Proportional to 211.71, 315.80 and 177.09

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Solution

The fourth proportional to 211.71, 315.80 and 177.09 is: 264.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.71 : 315.80 = 177.09 : x
  2. Step 2: Convert to fraction form
    211.71/315.80 = 177.09/x
  3. Step 3: Cross multiply
    211.71x = 315.80 × 177.09
  4. Step 4: Simplify right side
    211.71x = 55,923.62
  5. Step 5: Solve for x
    x = 55,923.62/211.71
  6. Step 6: Final answer
    x = 264.15

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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.