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Finding the Fourth Proportional to 264.41, 364.49 and 189.55

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Solution

The fourth proportional to 264.41, 364.49 and 189.55 is: 261.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.41 : 364.49 = 189.55 : x
  2. Step 2: Convert to fraction form
    264.41/364.49 = 189.55/x
  3. Step 3: Cross multiply
    264.41x = 364.49 × 189.55
  4. Step 4: Simplify right side
    264.41x = 69,089.08
  5. Step 5: Solve for x
    x = 69,089.08/264.41
  6. Step 6: Final answer
    x = 261.30

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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.