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Finding the Fourth Proportional to 275.72, 415.71 and 257.16

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Solution

The fourth proportional to 275.72, 415.71 and 257.16 is: 387.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.72 : 415.71 = 257.16 : x
  2. Step 2: Convert to fraction form
    275.72/415.71 = 257.16/x
  3. Step 3: Cross multiply
    275.72x = 415.71 × 257.16
  4. Step 4: Simplify right side
    275.72x = 106,903.98
  5. Step 5: Solve for x
    x = 106,903.98/275.72
  6. Step 6: Final answer
    x = 387.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.