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Finding the Fourth Proportional to 491.98, 737.66 and 231.83

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Solution

The fourth proportional to 491.98, 737.66 and 231.83 is: 347.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.98 : 737.66 = 231.83 : x
  2. Step 2: Convert to fraction form
    491.98/737.66 = 231.83/x
  3. Step 3: Cross multiply
    491.98x = 737.66 × 231.83
  4. Step 4: Simplify right side
    491.98x = 171,008.03
  5. Step 5: Solve for x
    x = 171,008.03/491.98
  6. Step 6: Final answer
    x = 347.59

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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.