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Finding the Fourth Proportional to 257.85, 385.63 and 229.16

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Solution

The fourth proportional to 257.85, 385.63 and 229.16 is: 342.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.85 : 385.63 = 229.16 : x
  2. Step 2: Convert to fraction form
    257.85/385.63 = 229.16/x
  3. Step 3: Cross multiply
    257.85x = 385.63 × 229.16
  4. Step 4: Simplify right side
    257.85x = 88,371.36
  5. Step 5: Solve for x
    x = 88,371.36/257.85
  6. Step 6: Final answer
    x = 342.72

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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.