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Finding the Fourth Proportional to 165.95, 228.82 and 141.47

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Solution

The fourth proportional to 165.95, 228.82 and 141.47 is: 195.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.95 : 228.82 = 141.47 : x
  2. Step 2: Convert to fraction form
    165.95/228.82 = 141.47/x
  3. Step 3: Cross multiply
    165.95x = 228.82 × 141.47
  4. Step 4: Simplify right side
    165.95x = 32,371.17
  5. Step 5: Solve for x
    x = 32,371.17/165.95
  6. Step 6: Final answer
    x = 195.07

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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.