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Finding the Fourth Proportional to 265.96, 397.27 and 178.57

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Solution

The fourth proportional to 265.96, 397.27 and 178.57 is: 266.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.96 : 397.27 = 178.57 : x
  2. Step 2: Convert to fraction form
    265.96/397.27 = 178.57/x
  3. Step 3: Cross multiply
    265.96x = 397.27 × 178.57
  4. Step 4: Simplify right side
    265.96x = 70,940.50
  5. Step 5: Solve for x
    x = 70,940.50/265.96
  6. Step 6: Final answer
    x = 266.73

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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.