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Finding the Fourth Proportional to 274.86, 412.59 and 165.42

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Solution

The fourth proportional to 274.86, 412.59 and 165.42 is: 248.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.86 : 412.59 = 165.42 : x
  2. Step 2: Convert to fraction form
    274.86/412.59 = 165.42/x
  3. Step 3: Cross multiply
    274.86x = 412.59 × 165.42
  4. Step 4: Simplify right side
    274.86x = 68,250.64
  5. Step 5: Solve for x
    x = 68,250.64/274.86
  6. Step 6: Final answer
    x = 248.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.