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Finding the Fourth Proportional to 165.24, 228.03 and 90.55

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Solution

The fourth proportional to 165.24, 228.03 and 90.55 is: 124.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.24 : 228.03 = 90.55 : x
  2. Step 2: Convert to fraction form
    165.24/228.03 = 90.55/x
  3. Step 3: Cross multiply
    165.24x = 228.03 × 90.55
  4. Step 4: Simplify right side
    165.24x = 20,648.12
  5. Step 5: Solve for x
    x = 20,648.12/165.24
  6. Step 6: Final answer
    x = 124.96

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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.