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Finding the Fourth Proportional to 263.84, 364.09 and 165.65

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Solution

The fourth proportional to 263.84, 364.09 and 165.65 is: 228.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.84 : 364.09 = 165.65 : x
  2. Step 2: Convert to fraction form
    263.84/364.09 = 165.65/x
  3. Step 3: Cross multiply
    263.84x = 364.09 × 165.65
  4. Step 4: Simplify right side
    263.84x = 60,311.51
  5. Step 5: Solve for x
    x = 60,311.51/263.84
  6. Step 6: Final answer
    x = 228.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.