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Finding the Fourth Proportional to 156.69, 234.86 and 127.85

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Solution

The fourth proportional to 156.69, 234.86 and 127.85 is: 191.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.69 : 234.86 = 127.85 : x
  2. Step 2: Convert to fraction form
    156.69/234.86 = 127.85/x
  3. Step 3: Cross multiply
    156.69x = 234.86 × 127.85
  4. Step 4: Simplify right side
    156.69x = 30,025.04
  5. Step 5: Solve for x
    x = 30,025.04/156.69
  6. Step 6: Final answer
    x = 191.62

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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.