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Finding the Fourth Proportional to 155.94, 234.84 and 137.84

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Solution

The fourth proportional to 155.94, 234.84 and 137.84 is: 207.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.94 : 234.84 = 137.84 : x
  2. Step 2: Convert to fraction form
    155.94/234.84 = 137.84/x
  3. Step 3: Cross multiply
    155.94x = 234.84 × 137.84
  4. Step 4: Simplify right side
    155.94x = 32,369.17
  5. Step 5: Solve for x
    x = 32,369.17/155.94
  6. Step 6: Final answer
    x = 207.57

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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.