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Finding the Fourth Proportional to 164.25, 245.87 and 146.86

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Solution

The fourth proportional to 164.25, 245.87 and 146.86 is: 219.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.25 : 245.87 = 146.86 : x
  2. Step 2: Convert to fraction form
    164.25/245.87 = 146.86/x
  3. Step 3: Cross multiply
    164.25x = 245.87 × 146.86
  4. Step 4: Simplify right side
    164.25x = 36,108.04
  5. Step 5: Solve for x
    x = 36,108.04/164.25
  6. Step 6: Final answer
    x = 219.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.