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Finding the Fourth Proportional to 176.94, 245.30 and 165.90

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Solution

The fourth proportional to 176.94, 245.30 and 165.90 is: 229.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.94 : 245.30 = 165.90 : x
  2. Step 2: Convert to fraction form
    176.94/245.30 = 165.90/x
  3. Step 3: Cross multiply
    176.94x = 245.30 × 165.90
  4. Step 4: Simplify right side
    176.94x = 40,694.44
  5. Step 5: Solve for x
    x = 40,694.44/176.94
  6. Step 6: Final answer
    x = 229.99

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.