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Finding the Fourth Proportional to 176.25, 243.15 and 106.31

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Solution

The fourth proportional to 176.25, 243.15 and 106.31 is: 146.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.25 : 243.15 = 106.31 : x
  2. Step 2: Convert to fraction form
    176.25/243.15 = 106.31/x
  3. Step 3: Cross multiply
    176.25x = 243.15 × 106.31
  4. Step 4: Simplify right side
    176.25x = 25,850.08
  5. Step 5: Solve for x
    x = 25,850.08/176.25
  6. Step 6: Final answer
    x = 146.67

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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.