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Finding the Fourth Proportional to 236.84, 354.70 and 202.40

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Solution

The fourth proportional to 236.84, 354.70 and 202.40 is: 303.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.84 : 354.70 = 202.40 : x
  2. Step 2: Convert to fraction form
    236.84/354.70 = 202.40/x
  3. Step 3: Cross multiply
    236.84x = 354.70 × 202.40
  4. Step 4: Simplify right side
    236.84x = 71,791.28
  5. Step 5: Solve for x
    x = 71,791.28/236.84
  6. Step 6: Final answer
    x = 303.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.