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Finding the Fourth Proportional to 156.12, 232.97 and 137.89

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Solution

The fourth proportional to 156.12, 232.97 and 137.89 is: 205.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.12 : 232.97 = 137.89 : x
  2. Step 2: Convert to fraction form
    156.12/232.97 = 137.89/x
  3. Step 3: Cross multiply
    156.12x = 232.97 × 137.89
  4. Step 4: Simplify right side
    156.12x = 32,124.23
  5. Step 5: Solve for x
    x = 32,124.23/156.12
  6. Step 6: Final answer
    x = 205.77

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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.