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Finding the Fourth Proportional to 176.12, 265.21 and 153.56

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Solution

The fourth proportional to 176.12, 265.21 and 153.56 is: 231.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.12 : 265.21 = 153.56 : x
  2. Step 2: Convert to fraction form
    176.12/265.21 = 153.56/x
  3. Step 3: Cross multiply
    176.12x = 265.21 × 153.56
  4. Step 4: Simplify right side
    176.12x = 40,723.94
  5. Step 5: Solve for x
    x = 40,723.94/176.12
  6. Step 6: Final answer
    x = 231.23

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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.