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Finding the Fourth Proportional to 389.28, 582.90 and 328.26

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Solution

The fourth proportional to 389.28, 582.90 and 328.26 is: 491.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.28 : 582.90 = 328.26 : x
  2. Step 2: Convert to fraction form
    389.28/582.90 = 328.26/x
  3. Step 3: Cross multiply
    389.28x = 582.90 × 328.26
  4. Step 4: Simplify right side
    389.28x = 191,342.75
  5. Step 5: Solve for x
    x = 191,342.75/389.28
  6. Step 6: Final answer
    x = 491.53

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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.