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Finding the Fourth Proportional to 154.71, 214.56 and 149.22

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Solution

The fourth proportional to 154.71, 214.56 and 149.22 is: 206.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.71 : 214.56 = 149.22 : x
  2. Step 2: Convert to fraction form
    154.71/214.56 = 149.22/x
  3. Step 3: Cross multiply
    154.71x = 214.56 × 149.22
  4. Step 4: Simplify right side
    154.71x = 32,016.64
  5. Step 5: Solve for x
    x = 32,016.64/154.71
  6. Step 6: Final answer
    x = 206.95

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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.