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Finding the Fourth Proportional to 165.03, 228.03 and 159.20

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Solution

The fourth proportional to 165.03, 228.03 and 159.20 is: 219.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.03 : 228.03 = 159.20 : x
  2. Step 2: Convert to fraction form
    165.03/228.03 = 159.20/x
  3. Step 3: Cross multiply
    165.03x = 228.03 × 159.20
  4. Step 4: Simplify right side
    165.03x = 36,301.24
  5. Step 5: Solve for x
    x = 36,301.24/165.03
  6. Step 6: Final answer
    x = 219.97

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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.