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Finding the Fourth Proportional to 211.88, 316.26 and 184.54

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Solution

The fourth proportional to 211.88, 316.26 and 184.54 is: 275.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.88 : 316.26 = 184.54 : x
  2. Step 2: Convert to fraction form
    211.88/316.26 = 184.54/x
  3. Step 3: Cross multiply
    211.88x = 316.26 × 184.54
  4. Step 4: Simplify right side
    211.88x = 58,362.62
  5. Step 5: Solve for x
    x = 58,362.62/211.88
  6. Step 6: Final answer
    x = 275.45

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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.