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Finding the Fourth Proportional to 264.95, 364.83 and 221.21

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Solution

The fourth proportional to 264.95, 364.83 and 221.21 is: 304.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.95 : 364.83 = 221.21 : x
  2. Step 2: Convert to fraction form
    264.95/364.83 = 221.21/x
  3. Step 3: Cross multiply
    264.95x = 364.83 × 221.21
  4. Step 4: Simplify right side
    264.95x = 80,703.69
  5. Step 5: Solve for x
    x = 80,703.69/264.95
  6. Step 6: Final answer
    x = 304.60

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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.