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Finding the Fourth Proportional to 277.14, 382.14 and 257.70

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Solution

The fourth proportional to 277.14, 382.14 and 257.70 is: 355.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.14 : 382.14 = 257.70 : x
  2. Step 2: Convert to fraction form
    277.14/382.14 = 257.70/x
  3. Step 3: Cross multiply
    277.14x = 382.14 × 257.70
  4. Step 4: Simplify right side
    277.14x = 98,477.48
  5. Step 5: Solve for x
    x = 98,477.48/277.14
  6. Step 6: Final answer
    x = 355.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.