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Finding the Fourth Proportional to 165.90, 228.72 and 162.42

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Solution

The fourth proportional to 165.90, 228.72 and 162.42 is: 223.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.90 : 228.72 = 162.42 : x
  2. Step 2: Convert to fraction form
    165.90/228.72 = 162.42/x
  3. Step 3: Cross multiply
    165.90x = 228.72 × 162.42
  4. Step 4: Simplify right side
    165.90x = 37,148.70
  5. Step 5: Solve for x
    x = 37,148.70/165.90
  6. Step 6: Final answer
    x = 223.92

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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.