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Finding the Fourth Proportional to 165.84, 230.30 and 164.24

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Solution

The fourth proportional to 165.84, 230.30 and 164.24 is: 228.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.84 : 230.30 = 164.24 : x
  2. Step 2: Convert to fraction form
    165.84/230.30 = 164.24/x
  3. Step 3: Cross multiply
    165.84x = 230.30 × 164.24
  4. Step 4: Simplify right side
    165.84x = 37,824.47
  5. Step 5: Solve for x
    x = 37,824.47/165.84
  6. Step 6: Final answer
    x = 228.08

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.