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Finding the Fourth Proportional to 257.15, 354.69 and 236.49

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Solution

The fourth proportional to 257.15, 354.69 and 236.49 is: 326.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.15 : 354.69 = 236.49 : x
  2. Step 2: Convert to fraction form
    257.15/354.69 = 236.49/x
  3. Step 3: Cross multiply
    257.15x = 354.69 × 236.49
  4. Step 4: Simplify right side
    257.15x = 83,880.64
  5. Step 5: Solve for x
    x = 83,880.64/257.15
  6. Step 6: Final answer
    x = 326.20

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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.