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Finding the Fourth Proportional to 165.31, 228.23 and 147.09

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Solution

The fourth proportional to 165.31, 228.23 and 147.09 is: 203.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.31 : 228.23 = 147.09 : x
  2. Step 2: Convert to fraction form
    165.31/228.23 = 147.09/x
  3. Step 3: Cross multiply
    165.31x = 228.23 × 147.09
  4. Step 4: Simplify right side
    165.31x = 33,570.35
  5. Step 5: Solve for x
    x = 33,570.35/165.31
  6. Step 6: Final answer
    x = 203.08

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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.