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Finding the Fourth Proportional to 154.78, 214.62 and 146.58

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Solution

The fourth proportional to 154.78, 214.62 and 146.58 is: 203.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.78 : 214.62 = 146.58 : x
  2. Step 2: Convert to fraction form
    154.78/214.62 = 146.58/x
  3. Step 3: Cross multiply
    154.78x = 214.62 × 146.58
  4. Step 4: Simplify right side
    154.78x = 31,458.27
  5. Step 5: Solve for x
    x = 31,458.27/154.78
  6. Step 6: Final answer
    x = 203.25

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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.