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Finding the Fourth Proportional to 357.86, 537.14 and 255.35

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Solution

The fourth proportional to 357.86, 537.14 and 255.35 is: 383.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.86 : 537.14 = 255.35 : x
  2. Step 2: Convert to fraction form
    357.86/537.14 = 255.35/x
  3. Step 3: Cross multiply
    357.86x = 537.14 × 255.35
  4. Step 4: Simplify right side
    357.86x = 137,160.68
  5. Step 5: Solve for x
    x = 137,160.68/357.86
  6. Step 6: Final answer
    x = 383.28

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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.