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Finding the Fourth Proportional to 176.43, 262.80 and 174.30

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Solution

The fourth proportional to 176.43, 262.80 and 174.30 is: 259.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.43 : 262.80 = 174.30 : x
  2. Step 2: Convert to fraction form
    176.43/262.80 = 174.30/x
  3. Step 3: Cross multiply
    176.43x = 262.80 × 174.30
  4. Step 4: Simplify right side
    176.43x = 45,806.04
  5. Step 5: Solve for x
    x = 45,806.04/176.43
  6. Step 6: Final answer
    x = 259.63

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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.