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Finding the Fourth Proportional to 277.59, 381.03 and 252.89

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Solution

The fourth proportional to 277.59, 381.03 and 252.89 is: 347.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.59 : 381.03 = 252.89 : x
  2. Step 2: Convert to fraction form
    277.59/381.03 = 252.89/x
  3. Step 3: Cross multiply
    277.59x = 381.03 × 252.89
  4. Step 4: Simplify right side
    277.59x = 96,356.77
  5. Step 5: Solve for x
    x = 96,356.77/277.59
  6. Step 6: Final answer
    x = 347.12

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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.