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Finding the Fourth Proportional to 156.54, 234.42 and 113.13

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Solution

The fourth proportional to 156.54, 234.42 and 113.13 is: 169.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.54 : 234.42 = 113.13 : x
  2. Step 2: Convert to fraction form
    156.54/234.42 = 113.13/x
  3. Step 3: Cross multiply
    156.54x = 234.42 × 113.13
  4. Step 4: Simplify right side
    156.54x = 26,519.93
  5. Step 5: Solve for x
    x = 26,519.93/156.54
  6. Step 6: Final answer
    x = 169.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.