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Finding the Fourth Proportional to 277.53, 383.03 and 203.82

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Solution

The fourth proportional to 277.53, 383.03 and 203.82 is: 281.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.53 : 383.03 = 203.82 : x
  2. Step 2: Convert to fraction form
    277.53/383.03 = 203.82/x
  3. Step 3: Cross multiply
    277.53x = 383.03 × 203.82
  4. Step 4: Simplify right side
    277.53x = 78,069.17
  5. Step 5: Solve for x
    x = 78,069.17/277.53
  6. Step 6: Final answer
    x = 281.30

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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.