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Finding the Fourth Proportional to 446.28, 669.38 and 157.72

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Solution

The fourth proportional to 446.28, 669.38 and 157.72 is: 236.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.28 : 669.38 = 157.72 : x
  2. Step 2: Convert to fraction form
    446.28/669.38 = 157.72/x
  3. Step 3: Cross multiply
    446.28x = 669.38 × 157.72
  4. Step 4: Simplify right side
    446.28x = 105,574.61
  5. Step 5: Solve for x
    x = 105,574.61/446.28
  6. Step 6: Final answer
    x = 236.57

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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.