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Finding the Fourth Proportional to 176.55, 262.91 and 173.51

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Solution

The fourth proportional to 176.55, 262.91 and 173.51 is: 258.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.55 : 262.91 = 173.51 : x
  2. Step 2: Convert to fraction form
    176.55/262.91 = 173.51/x
  3. Step 3: Cross multiply
    176.55x = 262.91 × 173.51
  4. Step 4: Simplify right side
    176.55x = 45,617.95
  5. Step 5: Solve for x
    x = 45,617.95/176.55
  6. Step 6: Final answer
    x = 258.39

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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.