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Finding the Fourth Proportional to 178.11, 265.06 and 172.27

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Solution

The fourth proportional to 178.11, 265.06 and 172.27 is: 256.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.11 : 265.06 = 172.27 : x
  2. Step 2: Convert to fraction form
    178.11/265.06 = 172.27/x
  3. Step 3: Cross multiply
    178.11x = 265.06 × 172.27
  4. Step 4: Simplify right side
    178.11x = 45,661.89
  5. Step 5: Solve for x
    x = 45,661.89/178.11
  6. Step 6: Final answer
    x = 256.37

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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.