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Finding the Fourth Proportional to 277.75, 383.30 and 257.14

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Solution

The fourth proportional to 277.75, 383.30 and 257.14 is: 354.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.75 : 383.30 = 257.14 : x
  2. Step 2: Convert to fraction form
    277.75/383.30 = 257.14/x
  3. Step 3: Cross multiply
    277.75x = 383.30 × 257.14
  4. Step 4: Simplify right side
    277.75x = 98,561.76
  5. Step 5: Solve for x
    x = 98,561.76/277.75
  6. Step 6: Final answer
    x = 354.86

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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.