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Finding the Fourth Proportional to 491.31, 736.97 and 149.31

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Solution

The fourth proportional to 491.31, 736.97 and 149.31 is: 223.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.31 : 736.97 = 149.31 : x
  2. Step 2: Convert to fraction form
    491.31/736.97 = 149.31/x
  3. Step 3: Cross multiply
    491.31x = 736.97 × 149.31
  4. Step 4: Simplify right side
    491.31x = 110,036.99
  5. Step 5: Solve for x
    x = 110,036.99/491.31
  6. Step 6: Final answer
    x = 223.97

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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.