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Finding the Fourth Proportional to 277.04, 382.37 and 211.70

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Solution

The fourth proportional to 277.04, 382.37 and 211.70 is: 292.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.04 : 382.37 = 211.70 : x
  2. Step 2: Convert to fraction form
    277.04/382.37 = 211.70/x
  3. Step 3: Cross multiply
    277.04x = 382.37 × 211.70
  4. Step 4: Simplify right side
    277.04x = 80,944.76
  5. Step 5: Solve for x
    x = 80,944.76/277.04
  6. Step 6: Final answer
    x = 292.18

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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.