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Finding the Fourth Proportional to 386.07, 531.86 and 319.25

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Solution

The fourth proportional to 386.07, 531.86 and 319.25 is: 439.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.07 : 531.86 = 319.25 : x
  2. Step 2: Convert to fraction form
    386.07/531.86 = 319.25/x
  3. Step 3: Cross multiply
    386.07x = 531.86 × 319.25
  4. Step 4: Simplify right side
    386.07x = 169,792.05
  5. Step 5: Solve for x
    x = 169,792.05/386.07
  6. Step 6: Final answer
    x = 439.80

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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.