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Finding the Fourth Proportional to 319.12, 440.29 and 193.14

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Solution

The fourth proportional to 319.12, 440.29 and 193.14 is: 266.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.12 : 440.29 = 193.14 : x
  2. Step 2: Convert to fraction form
    319.12/440.29 = 193.14/x
  3. Step 3: Cross multiply
    319.12x = 440.29 × 193.14
  4. Step 4: Simplify right side
    319.12x = 85,037.13
  5. Step 5: Solve for x
    x = 85,037.13/319.12
  6. Step 6: Final answer
    x = 266.48

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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.