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Finding the Fourth Proportional to 446.19, 669.32 and 253.81

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Solution

The fourth proportional to 446.19, 669.32 and 253.81 is: 380.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.19 : 669.32 = 253.81 : x
  2. Step 2: Convert to fraction form
    446.19/669.32 = 253.81/x
  3. Step 3: Cross multiply
    446.19x = 669.32 × 253.81
  4. Step 4: Simplify right side
    446.19x = 169,880.11
  5. Step 5: Solve for x
    x = 169,880.11/446.19
  6. Step 6: Final answer
    x = 380.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.