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Finding the Fourth Proportional to 275.69, 411.51 and 257.46

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Solution

The fourth proportional to 275.69, 411.51 and 257.46 is: 384.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.69 : 411.51 = 257.46 : x
  2. Step 2: Convert to fraction form
    275.69/411.51 = 257.46/x
  3. Step 3: Cross multiply
    275.69x = 411.51 × 257.46
  4. Step 4: Simplify right side
    275.69x = 105,947.36
  5. Step 5: Solve for x
    x = 105,947.36/275.69
  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.