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Finding the Fourth Proportional to 319.38, 440.88 and 219.93

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Solution

The fourth proportional to 319.38, 440.88 and 219.93 is: 303.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.38 : 440.88 = 219.93 : x
  2. Step 2: Convert to fraction form
    319.38/440.88 = 219.93/x
  3. Step 3: Cross multiply
    319.38x = 440.88 × 219.93
  4. Step 4: Simplify right side
    319.38x = 96,962.74
  5. Step 5: Solve for x
    x = 96,962.74/319.38
  6. Step 6: Final answer
    x = 303.60

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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.