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Finding the Fourth Proportional to 156.92, 235.79 and 127.74

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Solution

The fourth proportional to 156.92, 235.79 and 127.74 is: 191.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.92 : 235.79 = 127.74 : x
  2. Step 2: Convert to fraction form
    156.92/235.79 = 127.74/x
  3. Step 3: Cross multiply
    156.92x = 235.79 × 127.74
  4. Step 4: Simplify right side
    156.92x = 30,118.00
  5. Step 5: Solve for x
    x = 30,118.00/156.92
  6. Step 6: Final answer
    x = 191.93

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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.