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Finding the Fourth Proportional to 176.45, 264.38 and 108.05

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Solution

The fourth proportional to 176.45, 264.38 and 108.05 is: 161.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.45 : 264.38 = 108.05 : x
  2. Step 2: Convert to fraction form
    176.45/264.38 = 108.05/x
  3. Step 3: Cross multiply
    176.45x = 264.38 × 108.05
  4. Step 4: Simplify right side
    176.45x = 28,564.40
  5. Step 5: Solve for x
    x = 28,564.40/176.45
  6. Step 6: Final answer
    x = 161.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.