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Finding the Fourth Proportional to 155.92, 232.79 and 134.26

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Solution

The fourth proportional to 155.92, 232.79 and 134.26 is: 200.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.92 : 232.79 = 134.26 : x
  2. Step 2: Convert to fraction form
    155.92/232.79 = 134.26/x
  3. Step 3: Cross multiply
    155.92x = 232.79 × 134.26
  4. Step 4: Simplify right side
    155.92x = 31,254.39
  5. Step 5: Solve for x
    x = 31,254.39/155.92
  6. Step 6: Final answer
    x = 200.45

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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.