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Finding the Fourth Proportional to 257.45, 355.46 and 229.77

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Solution

The fourth proportional to 257.45, 355.46 and 229.77 is: 317.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.45 : 355.46 = 229.77 : x
  2. Step 2: Convert to fraction form
    257.45/355.46 = 229.77/x
  3. Step 3: Cross multiply
    257.45x = 355.46 × 229.77
  4. Step 4: Simplify right side
    257.45x = 81,672.90
  5. Step 5: Solve for x
    x = 81,672.90/257.45
  6. Step 6: Final answer
    x = 317.24

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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.