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Finding the Fourth Proportional to 277.23, 380.47 and 272.43

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Solution

The fourth proportional to 277.23, 380.47 and 272.43 is: 373.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.23 : 380.47 = 272.43 : x
  2. Step 2: Convert to fraction form
    277.23/380.47 = 272.43/x
  3. Step 3: Cross multiply
    277.23x = 380.47 × 272.43
  4. Step 4: Simplify right side
    277.23x = 103,650.76
  5. Step 5: Solve for x
    x = 103,650.76/277.23
  6. Step 6: Final answer
    x = 373.88

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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.