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Finding the Fourth Proportional to 165.07, 227.80 and 90.39

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Solution

The fourth proportional to 165.07, 227.80 and 90.39 is: 124.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.07 : 227.80 = 90.39 : x
  2. Step 2: Convert to fraction form
    165.07/227.80 = 90.39/x
  3. Step 3: Cross multiply
    165.07x = 227.80 × 90.39
  4. Step 4: Simplify right side
    165.07x = 20,590.90
  5. Step 5: Solve for x
    x = 20,590.90/165.07
  6. Step 6: Final answer
    x = 124.74

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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.