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Finding the Fourth Proportional to 154.96, 214.80 and 152.38

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Solution

The fourth proportional to 154.96, 214.80 and 152.38 is: 211.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.96 : 214.80 = 152.38 : x
  2. Step 2: Convert to fraction form
    154.96/214.80 = 152.38/x
  3. Step 3: Cross multiply
    154.96x = 214.80 × 152.38
  4. Step 4: Simplify right side
    154.96x = 32,731.78
  5. Step 5: Solve for x
    x = 32,731.78/154.96
  6. Step 6: Final answer
    x = 211.22

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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.