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Finding the Fourth Proportional to 154.43, 214.10 and 146.22

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Solution

The fourth proportional to 154.43, 214.10 and 146.22 is: 202.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.43 : 214.10 = 146.22 : x
  2. Step 2: Convert to fraction form
    154.43/214.10 = 146.22/x
  3. Step 3: Cross multiply
    154.43x = 214.10 × 146.22
  4. Step 4: Simplify right side
    154.43x = 31,304.97
  5. Step 5: Solve for x
    x = 31,304.97/154.43
  6. Step 6: Final answer
    x = 202.72

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.