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Finding the Fourth Proportional to 383.85, 529.87 and 285.43

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Solution

The fourth proportional to 383.85, 529.87 and 285.43 is: 394.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.85 : 529.87 = 285.43 : x
  2. Step 2: Convert to fraction form
    383.85/529.87 = 285.43/x
  3. Step 3: Cross multiply
    383.85x = 529.87 × 285.43
  4. Step 4: Simplify right side
    383.85x = 151,240.79
  5. Step 5: Solve for x
    x = 151,240.79/383.85
  6. Step 6: Final answer
    x = 394.01

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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.