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Finding the Fourth Proportional to 178.46, 268.76 and 173.60

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Solution

The fourth proportional to 178.46, 268.76 and 173.60 is: 261.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.46 : 268.76 = 173.60 : x
  2. Step 2: Convert to fraction form
    178.46/268.76 = 173.60/x
  3. Step 3: Cross multiply
    178.46x = 268.76 × 173.60
  4. Step 4: Simplify right side
    178.46x = 46,656.74
  5. Step 5: Solve for x
    x = 46,656.74/178.46
  6. Step 6: Final answer
    x = 261.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.