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Finding the Fourth Proportional to 491.70, 736.88 and 231.66

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Solution

The fourth proportional to 491.70, 736.88 and 231.66 is: 347.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.70 : 736.88 = 231.66 : x
  2. Step 2: Convert to fraction form
    491.70/736.88 = 231.66/x
  3. Step 3: Cross multiply
    491.70x = 736.88 × 231.66
  4. Step 4: Simplify right side
    491.70x = 170,705.62
  5. Step 5: Solve for x
    x = 170,705.62/491.70
  6. Step 6: Final answer
    x = 347.17

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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.