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Finding the Fourth Proportional to 277.08, 379.88 and 272.14

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Solution

The fourth proportional to 277.08, 379.88 and 272.14 is: 373.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.08 : 379.88 = 272.14 : x
  2. Step 2: Convert to fraction form
    277.08/379.88 = 272.14/x
  3. Step 3: Cross multiply
    277.08x = 379.88 × 272.14
  4. Step 4: Simplify right side
    277.08x = 103,380.27
  5. Step 5: Solve for x
    x = 103,380.27/277.08
  6. Step 6: Final answer
    x = 373.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.