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Finding the Fourth Proportional to 257.50, 355.35 and 236.89

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Solution

The fourth proportional to 257.50, 355.35 and 236.89 is: 326.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.50 : 355.35 = 236.89 : x
  2. Step 2: Convert to fraction form
    257.50/355.35 = 236.89/x
  3. Step 3: Cross multiply
    257.50x = 355.35 × 236.89
  4. Step 4: Simplify right side
    257.50x = 84,178.86
  5. Step 5: Solve for x
    x = 84,178.86/257.50
  6. Step 6: Final answer
    x = 326.91

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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.