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Finding the Fourth Proportional to 377.82, 521.70 and 273.12

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Solution

The fourth proportional to 377.82, 521.70 and 273.12 is: 377.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.82 : 521.70 = 273.12 : x
  2. Step 2: Convert to fraction form
    377.82/521.70 = 273.12/x
  3. Step 3: Cross multiply
    377.82x = 521.70 × 273.12
  4. Step 4: Simplify right side
    377.82x = 142,486.70
  5. Step 5: Solve for x
    x = 142,486.70/377.82
  6. Step 6: Final answer
    x = 377.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.