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Finding the Fourth Proportional to 211.73, 316.07 and 180.75

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Solution

The fourth proportional to 211.73, 316.07 and 180.75 is: 269.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.73 : 316.07 = 180.75 : x
  2. Step 2: Convert to fraction form
    211.73/316.07 = 180.75/x
  3. Step 3: Cross multiply
    211.73x = 316.07 × 180.75
  4. Step 4: Simplify right side
    211.73x = 57,130.10
  5. Step 5: Solve for x
    x = 57,130.10/211.73
  6. Step 6: Final answer
    x = 269.82

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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.