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Finding the Fourth Proportional to 474.98, 712.40 and 166.81

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Solution

The fourth proportional to 474.98, 712.40 and 166.81 is: 250.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.98 : 712.40 = 166.81 : x
  2. Step 2: Convert to fraction form
    474.98/712.40 = 166.81/x
  3. Step 3: Cross multiply
    474.98x = 712.40 × 166.81
  4. Step 4: Simplify right side
    474.98x = 118,835.44
  5. Step 5: Solve for x
    x = 118,835.44/474.98
  6. Step 6: Final answer
    x = 250.19

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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.