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Finding the Fourth Proportional to 176.10, 262.79 and 174.57

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Solution

The fourth proportional to 176.10, 262.79 and 174.57 is: 260.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.10 : 262.79 = 174.57 : x
  2. Step 2: Convert to fraction form
    176.10/262.79 = 174.57/x
  3. Step 3: Cross multiply
    176.10x = 262.79 × 174.57
  4. Step 4: Simplify right side
    176.10x = 45,873.39
  5. Step 5: Solve for x
    x = 45,873.39/176.10
  6. Step 6: Final answer
    x = 260.49

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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.