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Finding the Fourth Proportional to 165.04, 245.92 and 159.64

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Solution

The fourth proportional to 165.04, 245.92 and 159.64 is: 237.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.04 : 245.92 = 159.64 : x
  2. Step 2: Convert to fraction form
    165.04/245.92 = 159.64/x
  3. Step 3: Cross multiply
    165.04x = 245.92 × 159.64
  4. Step 4: Simplify right side
    165.04x = 39,258.67
  5. Step 5: Solve for x
    x = 39,258.67/165.04
  6. Step 6: Final answer
    x = 237.87

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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.