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Finding the Fourth Proportional to 491.63, 737.46 and 166.98

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Solution

The fourth proportional to 491.63, 737.46 and 166.98 is: 250.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.63 : 737.46 = 166.98 : x
  2. Step 2: Convert to fraction form
    491.63/737.46 = 166.98/x
  3. Step 3: Cross multiply
    491.63x = 737.46 × 166.98
  4. Step 4: Simplify right side
    491.63x = 123,143.84
  5. Step 5: Solve for x
    x = 123,143.84/491.63
  6. Step 6: Final answer
    x = 250.48

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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.