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Finding the Fourth Proportional to 155.70, 214.79 and 126.54

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Solution

The fourth proportional to 155.70, 214.79 and 126.54 is: 174.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.70 : 214.79 = 126.54 : x
  2. Step 2: Convert to fraction form
    155.70/214.79 = 126.54/x
  3. Step 3: Cross multiply
    155.70x = 214.79 × 126.54
  4. Step 4: Simplify right side
    155.70x = 27,178.89
  5. Step 5: Solve for x
    x = 27,178.89/155.70
  6. Step 6: Final answer
    x = 174.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.