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Finding the Fourth Proportional to 378.24, 520.44 and 367.50

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Solution

The fourth proportional to 378.24, 520.44 and 367.50 is: 505.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.24 : 520.44 = 367.50 : x
  2. Step 2: Convert to fraction form
    378.24/520.44 = 367.50/x
  3. Step 3: Cross multiply
    378.24x = 520.44 × 367.50
  4. Step 4: Simplify right side
    378.24x = 191,261.70
  5. Step 5: Solve for x
    x = 191,261.70/378.24
  6. Step 6: Final answer
    x = 505.66

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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.