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Finding the Fourth Proportional to 277.86, 383.38 and 189.40

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Solution

The fourth proportional to 277.86, 383.38 and 189.40 is: 261.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.86 : 383.38 = 189.40 : x
  2. Step 2: Convert to fraction form
    277.86/383.38 = 189.40/x
  3. Step 3: Cross multiply
    277.86x = 383.38 × 189.40
  4. Step 4: Simplify right side
    277.86x = 72,612.17
  5. Step 5: Solve for x
    x = 72,612.17/277.86
  6. Step 6: Final answer
    x = 261.33

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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.