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Finding the Fourth Proportional to 165.89, 228.80 and 134.80

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Solution

The fourth proportional to 165.89, 228.80 and 134.80 is: 185.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.89 : 228.80 = 134.80 : x
  2. Step 2: Convert to fraction form
    165.89/228.80 = 134.80/x
  3. Step 3: Cross multiply
    165.89x = 228.80 × 134.80
  4. Step 4: Simplify right side
    165.89x = 30,842.24
  5. Step 5: Solve for x
    x = 30,842.24/165.89
  6. Step 6: Final answer
    x = 185.93

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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.