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Finding the Fourth Proportional to 176.94, 264.96 and 138.15

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Solution

The fourth proportional to 176.94, 264.96 and 138.15 is: 206.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.94 : 264.96 = 138.15 : x
  2. Step 2: Convert to fraction form
    176.94/264.96 = 138.15/x
  3. Step 3: Cross multiply
    176.94x = 264.96 × 138.15
  4. Step 4: Simplify right side
    176.94x = 36,604.22
  5. Step 5: Solve for x
    x = 36,604.22/176.94
  6. Step 6: Final answer
    x = 206.87

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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.