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Finding the Fourth Proportional to 491.44, 736.99 and 144.69

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Solution

The fourth proportional to 491.44, 736.99 and 144.69 is: 216.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.44 : 736.99 = 144.69 : x
  2. Step 2: Convert to fraction form
    491.44/736.99 = 144.69/x
  3. Step 3: Cross multiply
    491.44x = 736.99 × 144.69
  4. Step 4: Simplify right side
    491.44x = 106,635.08
  5. Step 5: Solve for x
    x = 106,635.08/491.44
  6. Step 6: Final answer
    x = 216.98

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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.