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Finding the Fourth Proportional to 177.09, 265.50 and 90.33

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Solution

The fourth proportional to 177.09, 265.50 and 90.33 is: 135.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.09 : 265.50 = 90.33 : x
  2. Step 2: Convert to fraction form
    177.09/265.50 = 90.33/x
  3. Step 3: Cross multiply
    177.09x = 265.50 × 90.33
  4. Step 4: Simplify right side
    177.09x = 23,982.62
  5. Step 5: Solve for x
    x = 23,982.62/177.09
  6. Step 6: Final answer
    x = 135.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.