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Finding the Fourth Proportional to 156.94, 235.71 and 126.56

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Solution

The fourth proportional to 156.94, 235.71 and 126.56 is: 190.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.94 : 235.71 = 126.56 : x
  2. Step 2: Convert to fraction form
    156.94/235.71 = 126.56/x
  3. Step 3: Cross multiply
    156.94x = 235.71 × 126.56
  4. Step 4: Simplify right side
    156.94x = 29,832.05
  5. Step 5: Solve for x
    x = 29,832.05/156.94
  6. Step 6: Final answer
    x = 190.09

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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.