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Finding the Fourth Proportional to 165.65, 228.56 and 100.17

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Solution

The fourth proportional to 165.65, 228.56 and 100.17 is: 138.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.65 : 228.56 = 100.17 : x
  2. Step 2: Convert to fraction form
    165.65/228.56 = 100.17/x
  3. Step 3: Cross multiply
    165.65x = 228.56 × 100.17
  4. Step 4: Simplify right side
    165.65x = 22,894.35
  5. Step 5: Solve for x
    x = 22,894.35/165.65
  6. Step 6: Final answer
    x = 138.21

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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.