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Finding the Fourth Proportional to 154, 212.57 and 102.25

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Solution

The fourth proportional to 154, 212.57 and 102.25 is: 141.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    154 : 212.57 = 102.25 : x
  2. Step 2: Convert to fraction form
    154/212.57 = 102.25/x
  3. Step 3: Cross multiply
    154x = 212.57 × 102.25
  4. Step 4: Simplify right side
    154x = 21,735.28
  5. Step 5: Solve for x
    x = 21,735.28/154
  6. Step 6: Final answer
    x = 141.14

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1.5x scale

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.