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Finding the Fourth Proportional to 155.40, 213.60 and 149.76

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Solution

The fourth proportional to 155.40, 213.60 and 149.76 is: 205.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.40 : 213.60 = 149.76 : x
  2. Step 2: Convert to fraction form
    155.40/213.60 = 149.76/x
  3. Step 3: Cross multiply
    155.40x = 213.60 × 149.76
  4. Step 4: Simplify right side
    155.40x = 31,988.74
  5. Step 5: Solve for x
    x = 31,988.74/155.40
  6. Step 6: Final answer
    x = 205.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.