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Finding the Fourth Proportional to 257.10, 383.66 and 229.75

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Solution

The fourth proportional to 257.10, 383.66 and 229.75 is: 342.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.10 : 383.66 = 229.75 : x
  2. Step 2: Convert to fraction form
    257.10/383.66 = 229.75/x
  3. Step 3: Cross multiply
    257.10x = 383.66 × 229.75
  4. Step 4: Simplify right side
    257.10x = 88,145.89
  5. Step 5: Solve for x
    x = 88,145.89/257.10
  6. Step 6: Final answer
    x = 342.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.