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Finding the Fourth Proportional to 257.55, 355.41 and 230.19

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Solution

The fourth proportional to 257.55, 355.41 and 230.19 is: 317.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.55 : 355.41 = 230.19 : x
  2. Step 2: Convert to fraction form
    257.55/355.41 = 230.19/x
  3. Step 3: Cross multiply
    257.55x = 355.41 × 230.19
  4. Step 4: Simplify right side
    257.55x = 81,811.83
  5. Step 5: Solve for x
    x = 81,811.83/257.55
  6. Step 6: Final answer
    x = 317.65

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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.