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Finding the Fourth Proportional to 319.49, 440.71 and 221.07

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Solution

The fourth proportional to 319.49, 440.71 and 221.07 is: 304.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.49 : 440.71 = 221.07 : x
  2. Step 2: Convert to fraction form
    319.49/440.71 = 221.07/x
  3. Step 3: Cross multiply
    319.49x = 440.71 × 221.07
  4. Step 4: Simplify right side
    319.49x = 97,427.21
  5. Step 5: Solve for x
    x = 97,427.21/319.49
  6. Step 6: Final answer
    x = 304.95

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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.