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Finding the Fourth Proportional to 491.42, 737.15 and 166.82

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Solution

The fourth proportional to 491.42, 737.15 and 166.82 is: 250.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.42 : 737.15 = 166.82 : x
  2. Step 2: Convert to fraction form
    491.42/737.15 = 166.82/x
  3. Step 3: Cross multiply
    491.42x = 737.15 × 166.82
  4. Step 4: Simplify right side
    491.42x = 122,967.68
  5. Step 5: Solve for x
    x = 122,967.68/491.42
  6. Step 6: Final answer
    x = 250.23

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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.