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Finding the Fourth Proportional to 257.08, 356.30 and 253.24

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Solution

The fourth proportional to 257.08, 356.30 and 253.24 is: 350.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.08 : 356.30 = 253.24 : x
  2. Step 2: Convert to fraction form
    257.08/356.30 = 253.24/x
  3. Step 3: Cross multiply
    257.08x = 356.30 × 253.24
  4. Step 4: Simplify right side
    257.08x = 90,229.41
  5. Step 5: Solve for x
    x = 90,229.41/257.08
  6. Step 6: Final answer
    x = 350.98

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.