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Finding the Fourth Proportional to 279.54, 383.57 and 274.68

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Solution

The fourth proportional to 279.54, 383.57 and 274.68 is: 376.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.54 : 383.57 = 274.68 : x
  2. Step 2: Convert to fraction form
    279.54/383.57 = 274.68/x
  3. Step 3: Cross multiply
    279.54x = 383.57 × 274.68
  4. Step 4: Simplify right side
    279.54x = 105,357.63
  5. Step 5: Solve for x
    x = 105,357.63/279.54
  6. Step 6: Final answer
    x = 376.90

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.