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Finding the Fourth Proportional to 156.82, 234.17 and 152.27

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Solution

The fourth proportional to 156.82, 234.17 and 152.27 is: 227.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.82 : 234.17 = 152.27 : x
  2. Step 2: Convert to fraction form
    156.82/234.17 = 152.27/x
  3. Step 3: Cross multiply
    156.82x = 234.17 × 152.27
  4. Step 4: Simplify right side
    156.82x = 35,657.07
  5. Step 5: Solve for x
    x = 35,657.07/156.82
  6. Step 6: Final answer
    x = 227.38

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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.