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Finding the Fourth Proportional to 491, 736.50 and 149

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Solution

The fourth proportional to 491, 736.50 and 149 is: 223.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    491 : 736.50 = 149 : x
  2. Step 2: Convert to fraction form
    491/736.50 = 149/x
  3. Step 3: Cross multiply
    491x = 736.50 × 149
  4. Step 4: Simplify right side
    491x = 109,738.50
  5. Step 5: Solve for x
    x = 109,738.50/491
  6. Step 6: Final answer
    x = 223.50

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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.