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Finding the Fourth Proportional to 178.15, 265.70 and 163.57

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Solution

The fourth proportional to 178.15, 265.70 and 163.57 is: 243.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.15 : 265.70 = 163.57 : x
  2. Step 2: Convert to fraction form
    178.15/265.70 = 163.57/x
  3. Step 3: Cross multiply
    178.15x = 265.70 × 163.57
  4. Step 4: Simplify right side
    178.15x = 43,460.55
  5. Step 5: Solve for x
    x = 43,460.55/178.15
  6. Step 6: Final answer
    x = 243.95

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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.