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Finding the Fourth Proportional to 257.45, 355.55 and 202.77

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Solution

The fourth proportional to 257.45, 355.55 and 202.77 is: 280.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.45 : 355.55 = 202.77 : x
  2. Step 2: Convert to fraction form
    257.45/355.55 = 202.77/x
  3. Step 3: Cross multiply
    257.45x = 355.55 × 202.77
  4. Step 4: Simplify right side
    257.45x = 72,093.86
  5. Step 5: Solve for x
    x = 72,093.86/257.45
  6. Step 6: Final answer
    x = 280.04

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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.