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Finding the Fourth Proportional to 319.09, 440.42 and 266.58

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Solution

The fourth proportional to 319.09, 440.42 and 266.58 is: 367.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.09 : 440.42 = 266.58 : x
  2. Step 2: Convert to fraction form
    319.09/440.42 = 266.58/x
  3. Step 3: Cross multiply
    319.09x = 440.42 × 266.58
  4. Step 4: Simplify right side
    319.09x = 117,407.16
  5. Step 5: Solve for x
    x = 117,407.16/319.09
  6. Step 6: Final answer
    x = 367.94

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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.