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Finding the Fourth Proportional to 257.12, 386.16 and 230.24

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Solution

The fourth proportional to 257.12, 386.16 and 230.24 is: 345.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.12 : 386.16 = 230.24 : x
  2. Step 2: Convert to fraction form
    257.12/386.16 = 230.24/x
  3. Step 3: Cross multiply
    257.12x = 386.16 × 230.24
  4. Step 4: Simplify right side
    257.12x = 88,909.48
  5. Step 5: Solve for x
    x = 88,909.48/257.12
  6. Step 6: Final answer
    x = 345.79

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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.