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Finding the Fourth Proportional to 383.78, 526.05 and 378.38

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Solution

The fourth proportional to 383.78, 526.05 and 378.38 is: 518.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.78 : 526.05 = 378.38 : x
  2. Step 2: Convert to fraction form
    383.78/526.05 = 378.38/x
  3. Step 3: Cross multiply
    383.78x = 526.05 × 378.38
  4. Step 4: Simplify right side
    383.78x = 199,044.91
  5. Step 5: Solve for x
    x = 199,044.91/383.78
  6. Step 6: Final answer
    x = 518.64

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.