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Finding the Fourth Proportional to 319.32, 440.74 and 208.80

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Solution

The fourth proportional to 319.32, 440.74 and 208.80 is: 288.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.32 : 440.74 = 208.80 : x
  2. Step 2: Convert to fraction form
    319.32/440.74 = 208.80/x
  3. Step 3: Cross multiply
    319.32x = 440.74 × 208.80
  4. Step 4: Simplify right side
    319.32x = 92,026.51
  5. Step 5: Solve for x
    x = 92,026.51/319.32
  6. Step 6: Final answer
    x = 288.20

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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.