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Finding the Fourth Proportional to 277.44, 380.54 and 261.66

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Solution

The fourth proportional to 277.44, 380.54 and 261.66 is: 358.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.44 : 380.54 = 261.66 : x
  2. Step 2: Convert to fraction form
    277.44/380.54 = 261.66/x
  3. Step 3: Cross multiply
    277.44x = 380.54 × 261.66
  4. Step 4: Simplify right side
    277.44x = 99,570.79
  5. Step 5: Solve for x
    x = 99,570.79/277.44
  6. Step 6: Final answer
    x = 358.89

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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.