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Finding the Fourth Proportional to 654.81, 982.24 and 167.86

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Solution

The fourth proportional to 654.81, 982.24 and 167.86 is: 251.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.81 : 982.24 = 167.86 : x
  2. Step 2: Convert to fraction form
    654.81/982.24 = 167.86/x
  3. Step 3: Cross multiply
    654.81x = 982.24 × 167.86
  4. Step 4: Simplify right side
    654.81x = 164,878.81
  5. Step 5: Solve for x
    x = 164,878.81/654.81
  6. Step 6: Final answer
    x = 251.80

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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.