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Finding the Fourth Proportional to 378.07, 520.50 and 325.42

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Solution

The fourth proportional to 378.07, 520.50 and 325.42 is: 448.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.07 : 520.50 = 325.42 : x
  2. Step 2: Convert to fraction form
    378.07/520.50 = 325.42/x
  3. Step 3: Cross multiply
    378.07x = 520.50 × 325.42
  4. Step 4: Simplify right side
    378.07x = 169,381.11
  5. Step 5: Solve for x
    x = 169,381.11/378.07
  6. Step 6: Final answer
    x = 448.02

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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.