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Finding the Fourth Proportional to 319.97, 440.88 and 237.02

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Solution

The fourth proportional to 319.97, 440.88 and 237.02 is: 326.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.97 : 440.88 = 237.02 : x
  2. Step 2: Convert to fraction form
    319.97/440.88 = 237.02/x
  3. Step 3: Cross multiply
    319.97x = 440.88 × 237.02
  4. Step 4: Simplify right side
    319.97x = 104,495.17
  5. Step 5: Solve for x
    x = 104,495.17/319.97
  6. Step 6: Final answer
    x = 326.58

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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.