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Finding the Fourth Proportional to 165.81, 228.84 and 103.65

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Solution

The fourth proportional to 165.81, 228.84 and 103.65 is: 143.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.81 : 228.84 = 103.65 : x
  2. Step 2: Convert to fraction form
    165.81/228.84 = 103.65/x
  3. Step 3: Cross multiply
    165.81x = 228.84 × 103.65
  4. Step 4: Simplify right side
    165.81x = 23,719.27
  5. Step 5: Solve for x
    x = 23,719.27/165.81
  6. Step 6: Final answer
    x = 143.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.