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Finding the Fourth Proportional to 449.57, 674.31 and 157.02

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Solution

The fourth proportional to 449.57, 674.31 and 157.02 is: 235.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.57 : 674.31 = 157.02 : x
  2. Step 2: Convert to fraction form
    449.57/674.31 = 157.02/x
  3. Step 3: Cross multiply
    449.57x = 674.31 × 157.02
  4. Step 4: Simplify right side
    449.57x = 105,880.16
  5. Step 5: Solve for x
    x = 105,880.16/449.57
  6. Step 6: Final answer
    x = 235.51

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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.