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Finding the Fourth Proportional to 491.24, 736.63 and 166.50

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Solution

The fourth proportional to 491.24, 736.63 and 166.50 is: 249.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.24 : 736.63 = 166.50 : x
  2. Step 2: Convert to fraction form
    491.24/736.63 = 166.50/x
  3. Step 3: Cross multiply
    491.24x = 736.63 × 166.50
  4. Step 4: Simplify right side
    491.24x = 122,648.90
  5. Step 5: Solve for x
    x = 122,648.90/491.24
  6. Step 6: Final answer
    x = 249.67

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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.