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Finding the Fourth Proportional to 275.70, 411.54 and 257.46

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Solution

The fourth proportional to 275.70, 411.54 and 257.46 is: 384.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.70 : 411.54 = 257.46 : x
  2. Step 2: Convert to fraction form
    275.70/411.54 = 257.46/x
  3. Step 3: Cross multiply
    275.70x = 411.54 × 257.46
  4. Step 4: Simplify right side
    275.70x = 105,955.09
  5. Step 5: Solve for x
    x = 105,955.09/275.70
  6. Step 6: Final answer
    x = 384.31

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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.