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Finding the Fourth Proportional to 319.69, 479.55 and 258.94

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Solution

The fourth proportional to 319.69, 479.55 and 258.94 is: 388.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.69 : 479.55 = 258.94 : x
  2. Step 2: Convert to fraction form
    319.69/479.55 = 258.94/x
  3. Step 3: Cross multiply
    319.69x = 479.55 × 258.94
  4. Step 4: Simplify right side
    319.69x = 124,174.68
  5. Step 5: Solve for x
    x = 124,174.68/319.69
  6. Step 6: Final answer
    x = 388.42

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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.