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Finding the Fourth Proportional to 165.16, 245.84 and 164.42

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Solution

The fourth proportional to 165.16, 245.84 and 164.42 is: 244.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.16 : 245.84 = 164.42 : x
  2. Step 2: Convert to fraction form
    165.16/245.84 = 164.42/x
  3. Step 3: Cross multiply
    165.16x = 245.84 × 164.42
  4. Step 4: Simplify right side
    165.16x = 40,421.01
  5. Step 5: Solve for x
    x = 40,421.01/165.16
  6. Step 6: Final answer
    x = 244.74

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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.