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Finding the Fourth Proportional to 426.42, 589.35 and 333.42

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Solution

The fourth proportional to 426.42, 589.35 and 333.42 is: 460.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.42 : 589.35 = 333.42 : x
  2. Step 2: Convert to fraction form
    426.42/589.35 = 333.42/x
  3. Step 3: Cross multiply
    426.42x = 589.35 × 333.42
  4. Step 4: Simplify right side
    426.42x = 196,501.08
  5. Step 5: Solve for x
    x = 196,501.08/426.42
  6. Step 6: Final answer
    x = 460.82

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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.