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Finding the Fourth Proportional to 446.54, 672.85 and 367.16

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Solution

The fourth proportional to 446.54, 672.85 and 367.16 is: 553.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.54 : 672.85 = 367.16 : x
  2. Step 2: Convert to fraction form
    446.54/672.85 = 367.16/x
  3. Step 3: Cross multiply
    446.54x = 672.85 × 367.16
  4. Step 4: Simplify right side
    446.54x = 247,038.41
  5. Step 5: Solve for x
    x = 247,038.41/446.54
  6. Step 6: Final answer
    x = 553.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.