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Finding the Fourth Proportional to 281.52, 386.28 and 274.32

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Solution

The fourth proportional to 281.52, 386.28 and 274.32 is: 376.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.52 : 386.28 = 274.32 : x
  2. Step 2: Convert to fraction form
    281.52/386.28 = 274.32/x
  3. Step 3: Cross multiply
    281.52x = 386.28 × 274.32
  4. Step 4: Simplify right side
    281.52x = 105,964.33
  5. Step 5: Solve for x
    x = 105,964.33/281.52
  6. Step 6: Final answer
    x = 376.40

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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.