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Finding the Fourth Proportional to 277.70, 381.62 and 265.02

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Solution

The fourth proportional to 277.70, 381.62 and 265.02 is: 364.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.70 : 381.62 = 265.02 : x
  2. Step 2: Convert to fraction form
    277.70/381.62 = 265.02/x
  3. Step 3: Cross multiply
    277.70x = 381.62 × 265.02
  4. Step 4: Simplify right side
    277.70x = 101,136.93
  5. Step 5: Solve for x
    x = 101,136.93/277.70
  6. Step 6: Final answer
    x = 364.19

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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.