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Finding the Fourth Proportional to 164.43, 245.56 and 131.98

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Solution

The fourth proportional to 164.43, 245.56 and 131.98 is: 197.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.43 : 245.56 = 131.98 : x
  2. Step 2: Convert to fraction form
    164.43/245.56 = 131.98/x
  3. Step 3: Cross multiply
    164.43x = 245.56 × 131.98
  4. Step 4: Simplify right side
    164.43x = 32,409.01
  5. Step 5: Solve for x
    x = 32,409.01/164.43
  6. Step 6: Final answer
    x = 197.10

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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.