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Finding the Fourth Proportional to 172.63, 257.36 and 166.69

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Solution

The fourth proportional to 172.63, 257.36 and 166.69 is: 248.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.63 : 257.36 = 166.69 : x
  2. Step 2: Convert to fraction form
    172.63/257.36 = 166.69/x
  3. Step 3: Cross multiply
    172.63x = 257.36 × 166.69
  4. Step 4: Simplify right side
    172.63x = 42,899.34
  5. Step 5: Solve for x
    x = 42,899.34/172.63
  6. Step 6: Final answer
    x = 248.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.