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Finding the Fourth Proportional to 426.50, 589.12 and 329.46

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Solution

The fourth proportional to 426.50, 589.12 and 329.46 is: 455.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.50 : 589.12 = 329.46 : x
  2. Step 2: Convert to fraction form
    426.50/589.12 = 329.46/x
  3. Step 3: Cross multiply
    426.50x = 589.12 × 329.46
  4. Step 4: Simplify right side
    426.50x = 194,091.48
  5. Step 5: Solve for x
    x = 194,091.48/426.50
  6. Step 6: Final answer
    x = 455.08

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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.