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Finding the Fourth Proportional to 236.42, 354.61 and 145.13

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Solution

The fourth proportional to 236.42, 354.61 and 145.13 is: 217.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.42 : 354.61 = 145.13 : x
  2. Step 2: Convert to fraction form
    236.42/354.61 = 145.13/x
  3. Step 3: Cross multiply
    236.42x = 354.61 × 145.13
  4. Step 4: Simplify right side
    236.42x = 51,463.66
  5. Step 5: Solve for x
    x = 51,463.66/236.42
  6. Step 6: Final answer
    x = 217.68

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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.