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Finding the Fourth Proportional to 257.94, 386.51 and 206.91

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Solution

The fourth proportional to 257.94, 386.51 and 206.91 is: 310.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.94 : 386.51 = 206.91 : x
  2. Step 2: Convert to fraction form
    257.94/386.51 = 206.91/x
  3. Step 3: Cross multiply
    257.94x = 386.51 × 206.91
  4. Step 4: Simplify right side
    257.94x = 79,971.75
  5. Step 5: Solve for x
    x = 79,971.75/257.94
  6. Step 6: Final answer
    x = 310.04

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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.