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Finding the Fourth Proportional to 165.70, 228.58 and 100.18

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Solution

The fourth proportional to 165.70, 228.58 and 100.18 is: 138.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.70 : 228.58 = 100.18 : x
  2. Step 2: Convert to fraction form
    165.70/228.58 = 100.18/x
  3. Step 3: Cross multiply
    165.70x = 228.58 × 100.18
  4. Step 4: Simplify right side
    165.70x = 22,899.14
  5. Step 5: Solve for x
    x = 22,899.14/165.70
  6. Step 6: Final answer
    x = 138.20

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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.