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Finding the Fourth Proportional to 325.04, 446.37 and 278.42

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Solution

The fourth proportional to 325.04, 446.37 and 278.42 is: 382.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.04 : 446.37 = 278.42 : x
  2. Step 2: Convert to fraction form
    325.04/446.37 = 278.42/x
  3. Step 3: Cross multiply
    325.04x = 446.37 × 278.42
  4. Step 4: Simplify right side
    325.04x = 124,278.34
  5. Step 5: Solve for x
    x = 124,278.34/325.04
  6. Step 6: Final answer
    x = 382.35

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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.