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Finding the Fourth Proportional to 383.61, 574.81 and 280.42

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Solution

The fourth proportional to 383.61, 574.81 and 280.42 is: 420.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.61 : 574.81 = 280.42 : x
  2. Step 2: Convert to fraction form
    383.61/574.81 = 280.42/x
  3. Step 3: Cross multiply
    383.61x = 574.81 × 280.42
  4. Step 4: Simplify right side
    383.61x = 161,186.08
  5. Step 5: Solve for x
    x = 161,186.08/383.61
  6. Step 6: Final answer
    x = 420.18

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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.