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Finding the Fourth Proportional to 319.10, 440.33 and 186.35

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Solution

The fourth proportional to 319.10, 440.33 and 186.35 is: 257.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.10 : 440.33 = 186.35 : x
  2. Step 2: Convert to fraction form
    319.10/440.33 = 186.35/x
  3. Step 3: Cross multiply
    319.10x = 440.33 × 186.35
  4. Step 4: Simplify right side
    319.10x = 82,052.36
  5. Step 5: Solve for x
    x = 82,052.36/319.10
  6. Step 6: Final answer
    x = 257.14

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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.