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Finding the Fourth Proportional to 164.63, 245.25 and 157.64

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Solution

The fourth proportional to 164.63, 245.25 and 157.64 is: 234.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.63 : 245.25 = 157.64 : x
  2. Step 2: Convert to fraction form
    164.63/245.25 = 157.64/x
  3. Step 3: Cross multiply
    164.63x = 245.25 × 157.64
  4. Step 4: Simplify right side
    164.63x = 38,659.98
  5. Step 5: Solve for x
    x = 38,659.98/164.63
  6. Step 6: Final answer
    x = 234.84

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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.