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Finding the Fourth Proportional to 277.74, 386.35 and 272.46

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Solution

The fourth proportional to 277.74, 386.35 and 272.46 is: 379.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.74 : 386.35 = 272.46 : x
  2. Step 2: Convert to fraction form
    277.74/386.35 = 272.46/x
  3. Step 3: Cross multiply
    277.74x = 386.35 × 272.46
  4. Step 4: Simplify right side
    277.74x = 105,263.56
  5. Step 5: Solve for x
    x = 105,263.56/277.74
  6. Step 6: Final answer
    x = 379.00

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.