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Finding the Fourth Proportional to 156.73, 236.01 and 137.68

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Solution

The fourth proportional to 156.73, 236.01 and 137.68 is: 207.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.73 : 236.01 = 137.68 : x
  2. Step 2: Convert to fraction form
    156.73/236.01 = 137.68/x
  3. Step 3: Cross multiply
    156.73x = 236.01 × 137.68
  4. Step 4: Simplify right side
    156.73x = 32,493.86
  5. Step 5: Solve for x
    x = 32,493.86/156.73
  6. Step 6: Final answer
    x = 207.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.