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Finding the Fourth Proportional to 491.90, 737.78 and 167.22

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Solution

The fourth proportional to 491.90, 737.78 and 167.22 is: 250.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.90 : 737.78 = 167.22 : x
  2. Step 2: Convert to fraction form
    491.90/737.78 = 167.22/x
  3. Step 3: Cross multiply
    491.90x = 737.78 × 167.22
  4. Step 4: Simplify right side
    491.90x = 123,371.57
  5. Step 5: Solve for x
    x = 123,371.57/491.90
  6. Step 6: Final answer
    x = 250.81

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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.