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Finding the Fourth Proportional to 277.60, 383.13 and 194.83

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Solution

The fourth proportional to 277.60, 383.13 and 194.83 is: 268.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.60 : 383.13 = 194.83 : x
  2. Step 2: Convert to fraction form
    277.60/383.13 = 194.83/x
  3. Step 3: Cross multiply
    277.60x = 383.13 × 194.83
  4. Step 4: Simplify right side
    277.60x = 74,644.26
  5. Step 5: Solve for x
    x = 74,644.26/277.60
  6. Step 6: Final answer
    x = 268.89

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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.