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Finding the Fourth Proportional to 274.18, 380.16 and 259.60

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Solution

The fourth proportional to 274.18, 380.16 and 259.60 is: 359.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.18 : 380.16 = 259.60 : x
  2. Step 2: Convert to fraction form
    274.18/380.16 = 259.60/x
  3. Step 3: Cross multiply
    274.18x = 380.16 × 259.60
  4. Step 4: Simplify right side
    274.18x = 98,689.54
  5. Step 5: Solve for x
    x = 98,689.54/274.18
  6. Step 6: Final answer
    x = 359.94

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.