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Finding the Fourth Proportional to 446.56, 669.72 and 138.40

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Solution

The fourth proportional to 446.56, 669.72 and 138.40 is: 207.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.56 : 669.72 = 138.40 : x
  2. Step 2: Convert to fraction form
    446.56/669.72 = 138.40/x
  3. Step 3: Cross multiply
    446.56x = 669.72 × 138.40
  4. Step 4: Simplify right side
    446.56x = 92,689.25
  5. Step 5: Solve for x
    x = 92,689.25/446.56
  6. Step 6: Final answer
    x = 207.56

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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.