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Finding the Fourth Proportional to 154.41, 214.50 and 152.97

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Solution

The fourth proportional to 154.41, 214.50 and 152.97 is: 212.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.41 : 214.50 = 152.97 : x
  2. Step 2: Convert to fraction form
    154.41/214.50 = 152.97/x
  3. Step 3: Cross multiply
    154.41x = 214.50 × 152.97
  4. Step 4: Simplify right side
    154.41x = 32,812.07
  5. Step 5: Solve for x
    x = 32,812.07/154.41
  6. Step 6: Final answer
    x = 212.50

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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.