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Finding the Fourth Proportional to 281.37, 386.07 and 265.89

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Solution

The fourth proportional to 281.37, 386.07 and 265.89 is: 364.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.37 : 386.07 = 265.89 : x
  2. Step 2: Convert to fraction form
    281.37/386.07 = 265.89/x
  3. Step 3: Cross multiply
    281.37x = 386.07 × 265.89
  4. Step 4: Simplify right side
    281.37x = 102,652.15
  5. Step 5: Solve for x
    x = 102,652.15/281.37
  6. Step 6: Final answer
    x = 364.83

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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.