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Finding the Fourth Proportional to 319.44, 440.70 and 188.40

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Solution

The fourth proportional to 319.44, 440.70 and 188.40 is: 259.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.44 : 440.70 = 188.40 : x
  2. Step 2: Convert to fraction form
    319.44/440.70 = 188.40/x
  3. Step 3: Cross multiply
    319.44x = 440.70 × 188.40
  4. Step 4: Simplify right side
    319.44x = 83,027.88
  5. Step 5: Solve for x
    x = 83,027.88/319.44
  6. Step 6: Final answer
    x = 259.92

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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.