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Finding the Fourth Proportional to 645.34, 967.81 and 183.15

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Solution

The fourth proportional to 645.34, 967.81 and 183.15 is: 274.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.34 : 967.81 = 183.15 : x
  2. Step 2: Convert to fraction form
    645.34/967.81 = 183.15/x
  3. Step 3: Cross multiply
    645.34x = 967.81 × 183.15
  4. Step 4: Simplify right side
    645.34x = 177,256.10
  5. Step 5: Solve for x
    x = 177,256.10/645.34
  6. Step 6: Final answer
    x = 274.67

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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.