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Finding the Fourth Proportional to 319.86, 480.21 and 259.50

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Solution

The fourth proportional to 319.86, 480.21 and 259.50 is: 389.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.86 : 480.21 = 259.50 : x
  2. Step 2: Convert to fraction form
    319.86/480.21 = 259.50/x
  3. Step 3: Cross multiply
    319.86x = 480.21 × 259.50
  4. Step 4: Simplify right side
    319.86x = 124,614.50
  5. Step 5: Solve for x
    x = 124,614.50/319.86
  6. Step 6: Final answer
    x = 389.59

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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.