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Finding the Fourth Proportional to 421.34, 582.21 and 328.33

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Solution

The fourth proportional to 421.34, 582.21 and 328.33 is: 453.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.34 : 582.21 = 328.33 : x
  2. Step 2: Convert to fraction form
    421.34/582.21 = 328.33/x
  3. Step 3: Cross multiply
    421.34x = 582.21 × 328.33
  4. Step 4: Simplify right side
    421.34x = 191,152.46
  5. Step 5: Solve for x
    x = 191,152.46/421.34
  6. Step 6: Final answer
    x = 453.68

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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.