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Finding the Fourth Proportional to 165.76, 228.74 and 92.07

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Solution

The fourth proportional to 165.76, 228.74 and 92.07 is: 127.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.76 : 228.74 = 92.07 : x
  2. Step 2: Convert to fraction form
    165.76/228.74 = 92.07/x
  3. Step 3: Cross multiply
    165.76x = 228.74 × 92.07
  4. Step 4: Simplify right side
    165.76x = 21,060.15
  5. Step 5: Solve for x
    x = 21,060.15/165.76
  6. Step 6: Final answer
    x = 127.05

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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.