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Finding the Fourth Proportional to 176.75, 263.63 and 166.58

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Solution

The fourth proportional to 176.75, 263.63 and 166.58 is: 248.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.75 : 263.63 = 166.58 : x
  2. Step 2: Convert to fraction form
    176.75/263.63 = 166.58/x
  3. Step 3: Cross multiply
    176.75x = 263.63 × 166.58
  4. Step 4: Simplify right side
    176.75x = 43,916.43
  5. Step 5: Solve for x
    x = 43,916.43/176.75
  6. Step 6: Final answer
    x = 248.47

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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.