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Finding the Fourth Proportional to 176.15, 262.63 and 167.15

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Solution

The fourth proportional to 176.15, 262.63 and 167.15 is: 249.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.15 : 262.63 = 167.15 : x
  2. Step 2: Convert to fraction form
    176.15/262.63 = 167.15/x
  3. Step 3: Cross multiply
    176.15x = 262.63 × 167.15
  4. Step 4: Simplify right side
    176.15x = 43,898.60
  5. Step 5: Solve for x
    x = 43,898.60/176.15
  6. Step 6: Final answer
    x = 249.21

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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.