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Finding the Fourth Proportional to 176.83, 244.50 and 161.31

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Solution

The fourth proportional to 176.83, 244.50 and 161.31 is: 223.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.83 : 244.50 = 161.31 : x
  2. Step 2: Convert to fraction form
    176.83/244.50 = 161.31/x
  3. Step 3: Cross multiply
    176.83x = 244.50 × 161.31
  4. Step 4: Simplify right side
    176.83x = 39,440.30
  5. Step 5: Solve for x
    x = 39,440.30/176.83
  6. Step 6: Final answer
    x = 223.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.