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Finding the Fourth Proportional to 257.12, 385.51 and 83.71

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Solution

The fourth proportional to 257.12, 385.51 and 83.71 is: 125.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.12 : 385.51 = 83.71 : x
  2. Step 2: Convert to fraction form
    257.12/385.51 = 83.71/x
  3. Step 3: Cross multiply
    257.12x = 385.51 × 83.71
  4. Step 4: Simplify right side
    257.12x = 32,271.04
  5. Step 5: Solve for x
    x = 32,271.04/257.12
  6. Step 6: Final answer
    x = 125.51

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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.