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Finding the Fourth Proportional to 319.58, 479.31 and 298.82

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Solution

The fourth proportional to 319.58, 479.31 and 298.82 is: 448.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.58 : 479.31 = 298.82 : x
  2. Step 2: Convert to fraction form
    319.58/479.31 = 298.82/x
  3. Step 3: Cross multiply
    319.58x = 479.31 × 298.82
  4. Step 4: Simplify right side
    319.58x = 143,227.41
  5. Step 5: Solve for x
    x = 143,227.41/319.58
  6. Step 6: Final answer
    x = 448.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.