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Finding the Fourth Proportional to 176.26, 262.31 and 170.42

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Solution

The fourth proportional to 176.26, 262.31 and 170.42 is: 253.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.26 : 262.31 = 170.42 : x
  2. Step 2: Convert to fraction form
    176.26/262.31 = 170.42/x
  3. Step 3: Cross multiply
    176.26x = 262.31 × 170.42
  4. Step 4: Simplify right side
    176.26x = 44,702.87
  5. Step 5: Solve for x
    x = 44,702.87/176.26
  6. Step 6: Final answer
    x = 253.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.