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Finding the Fourth Proportional to 319.02, 440.34 and 186.36

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Solution

The fourth proportional to 319.02, 440.34 and 186.36 is: 257.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.02 : 440.34 = 186.36 : x
  2. Step 2: Convert to fraction form
    319.02/440.34 = 186.36/x
  3. Step 3: Cross multiply
    319.02x = 440.34 × 186.36
  4. Step 4: Simplify right side
    319.02x = 82,061.76
  5. Step 5: Solve for x
    x = 82,061.76/319.02
  6. Step 6: Final answer
    x = 257.23

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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.