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Finding the Fourth Proportional to 236.05, 325.64 and 153.16

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Solution

The fourth proportional to 236.05, 325.64 and 153.16 is: 211.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.05 : 325.64 = 153.16 : x
  2. Step 2: Convert to fraction form
    236.05/325.64 = 153.16/x
  3. Step 3: Cross multiply
    236.05x = 325.64 × 153.16
  4. Step 4: Simplify right side
    236.05x = 49,872.63
  5. Step 5: Solve for x
    x = 49,872.63/236.05
  6. Step 6: Final answer
    x = 211.28

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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.