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Finding the Fourth Proportional to 371.57, 511.92 and 260.87

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Solution

The fourth proportional to 371.57, 511.92 and 260.87 is: 359.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.57 : 511.92 = 260.87 : x
  2. Step 2: Convert to fraction form
    371.57/511.92 = 260.87/x
  3. Step 3: Cross multiply
    371.57x = 511.92 × 260.87
  4. Step 4: Simplify right side
    371.57x = 133,542.01
  5. Step 5: Solve for x
    x = 133,542.01/371.57
  6. Step 6: Final answer
    x = 359.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.