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Finding the Fourth Proportional to 386.48, 531.96 and 320.24

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Solution

The fourth proportional to 386.48, 531.96 and 320.24 is: 440.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.48 : 531.96 = 320.24 : x
  2. Step 2: Convert to fraction form
    386.48/531.96 = 320.24/x
  3. Step 3: Cross multiply
    386.48x = 531.96 × 320.24
  4. Step 4: Simplify right side
    386.48x = 170,354.87
  5. Step 5: Solve for x
    x = 170,354.87/386.48
  6. Step 6: Final answer
    x = 440.79

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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.