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Finding the Fourth Proportional to 154.92, 214.03 and 136.40

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Solution

The fourth proportional to 154.92, 214.03 and 136.40 is: 188.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.92 : 214.03 = 136.40 : x
  2. Step 2: Convert to fraction form
    154.92/214.03 = 136.40/x
  3. Step 3: Cross multiply
    154.92x = 214.03 × 136.40
  4. Step 4: Simplify right side
    154.92x = 29,192.79
  5. Step 5: Solve for x
    x = 29,192.79/154.92
  6. Step 6: Final answer
    x = 188.43

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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.