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Finding the Fourth Proportional to 179.76, 248.28 and 150.36

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Solution

The fourth proportional to 179.76, 248.28 and 150.36 is: 207.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.76 : 248.28 = 150.36 : x
  2. Step 2: Convert to fraction form
    179.76/248.28 = 150.36/x
  3. Step 3: Cross multiply
    179.76x = 248.28 × 150.36
  4. Step 4: Simplify right side
    179.76x = 37,331.38
  5. Step 5: Solve for x
    x = 37,331.38/179.76
  6. Step 6: Final answer
    x = 207.67

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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.