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Finding the Fourth Proportional to 164.32, 245.20 and 146.96

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Solution

The fourth proportional to 164.32, 245.20 and 146.96 is: 219.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.32 : 245.20 = 146.96 : x
  2. Step 2: Convert to fraction form
    164.32/245.20 = 146.96/x
  3. Step 3: Cross multiply
    164.32x = 245.20 × 146.96
  4. Step 4: Simplify right side
    164.32x = 36,034.59
  5. Step 5: Solve for x
    x = 36,034.59/164.32
  6. Step 6: Final answer
    x = 219.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.