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Finding the Fourth Proportional to 156.92, 234.28 and 135.26

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Solution

The fourth proportional to 156.92, 234.28 and 135.26 is: 201.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.92 : 234.28 = 135.26 : x
  2. Step 2: Convert to fraction form
    156.92/234.28 = 135.26/x
  3. Step 3: Cross multiply
    156.92x = 234.28 × 135.26
  4. Step 4: Simplify right side
    156.92x = 31,688.71
  5. Step 5: Solve for x
    x = 31,688.71/156.92
  6. Step 6: Final answer
    x = 201.94

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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.