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Finding the Fourth Proportional to 319.97, 442.40 and 315.32

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Solution

The fourth proportional to 319.97, 442.40 and 315.32 is: 435.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.97 : 442.40 = 315.32 : x
  2. Step 2: Convert to fraction form
    319.97/442.40 = 315.32/x
  3. Step 3: Cross multiply
    319.97x = 442.40 × 315.32
  4. Step 4: Simplify right side
    319.97x = 139,497.57
  5. Step 5: Solve for x
    x = 139,497.57/319.97
  6. Step 6: Final answer
    x = 435.97

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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.