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Finding the Fourth Proportional to 154.62, 214.30 and 151.74

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Solution

The fourth proportional to 154.62, 214.30 and 151.74 is: 210.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.62 : 214.30 = 151.74 : x
  2. Step 2: Convert to fraction form
    154.62/214.30 = 151.74/x
  3. Step 3: Cross multiply
    154.62x = 214.30 × 151.74
  4. Step 4: Simplify right side
    154.62x = 32,517.88
  5. Step 5: Solve for x
    x = 32,517.88/154.62
  6. Step 6: Final answer
    x = 210.31

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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.