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Finding the Fourth Proportional to 384.04, 527.51 and 378.64

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Solution

The fourth proportional to 384.04, 527.51 and 378.64 is: 520.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.04 : 527.51 = 378.64 : x
  2. Step 2: Convert to fraction form
    384.04/527.51 = 378.64/x
  3. Step 3: Cross multiply
    384.04x = 527.51 × 378.64
  4. Step 4: Simplify right side
    384.04x = 199,736.39
  5. Step 5: Solve for x
    x = 199,736.39/384.04
  6. Step 6: Final answer
    x = 520.09

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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.