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Finding the Fourth Proportional to 146.86, 221.08 and 134.74

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Solution

The fourth proportional to 146.86, 221.08 and 134.74 is: 202.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.86 : 221.08 = 134.74 : x
  2. Step 2: Convert to fraction form
    146.86/221.08 = 134.74/x
  3. Step 3: Cross multiply
    146.86x = 221.08 × 134.74
  4. Step 4: Simplify right side
    146.86x = 29,788.32
  5. Step 5: Solve for x
    x = 29,788.32/146.86
  6. Step 6: Final answer
    x = 202.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.