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Finding the Fourth Proportional to 491.50, 736.34 and 213.23

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Solution

The fourth proportional to 491.50, 736.34 and 213.23 is: 319.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.50 : 736.34 = 213.23 : x
  2. Step 2: Convert to fraction form
    491.50/736.34 = 213.23/x
  3. Step 3: Cross multiply
    491.50x = 736.34 × 213.23
  4. Step 4: Simplify right side
    491.50x = 157,011.75
  5. Step 5: Solve for x
    x = 157,011.75/491.50
  6. Step 6: Final answer
    x = 319.45

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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.