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Finding the Fourth Proportional to 154.06, 229.48 and 145.78

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Solution

The fourth proportional to 154.06, 229.48 and 145.78 is: 217.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.06 : 229.48 = 145.78 : x
  2. Step 2: Convert to fraction form
    154.06/229.48 = 145.78/x
  3. Step 3: Cross multiply
    154.06x = 229.48 × 145.78
  4. Step 4: Simplify right side
    154.06x = 33,453.59
  5. Step 5: Solve for x
    x = 33,453.59/154.06
  6. Step 6: Final answer
    x = 217.15

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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.