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Finding the Fourth Proportional to 211.86, 316.43 and 183.06

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Solution

The fourth proportional to 211.86, 316.43 and 183.06 is: 273.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.86 : 316.43 = 183.06 : x
  2. Step 2: Convert to fraction form
    211.86/316.43 = 183.06/x
  3. Step 3: Cross multiply
    211.86x = 316.43 × 183.06
  4. Step 4: Simplify right side
    211.86x = 57,924.76
  5. Step 5: Solve for x
    x = 57,924.76/211.86
  6. Step 6: Final answer
    x = 273.41

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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.