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Finding the Fourth Proportional to 383.06, 527.49 and 284.64

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Solution

The fourth proportional to 383.06, 527.49 and 284.64 is: 391.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.06 : 527.49 = 284.64 : x
  2. Step 2: Convert to fraction form
    383.06/527.49 = 284.64/x
  3. Step 3: Cross multiply
    383.06x = 527.49 × 284.64
  4. Step 4: Simplify right side
    383.06x = 150,144.75
  5. Step 5: Solve for x
    x = 150,144.75/383.06
  6. Step 6: Final answer
    x = 391.97

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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.