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Finding the Fourth Proportional to 319.43, 440.72 and 188.42

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Solution

The fourth proportional to 319.43, 440.72 and 188.42 is: 259.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.43 : 440.72 = 188.42 : x
  2. Step 2: Convert to fraction form
    319.43/440.72 = 188.42/x
  3. Step 3: Cross multiply
    319.43x = 440.72 × 188.42
  4. Step 4: Simplify right side
    319.43x = 83,037.32
  5. Step 5: Solve for x
    x = 83,037.32/319.43
  6. Step 6: Final answer
    x = 259.96

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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.