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Finding the Fourth Proportional to 371.98, 511.92 and 288.76

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Solution

The fourth proportional to 371.98, 511.92 and 288.76 is: 397.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.98 : 511.92 = 288.76 : x
  2. Step 2: Convert to fraction form
    371.98/511.92 = 288.76/x
  3. Step 3: Cross multiply
    371.98x = 511.92 × 288.76
  4. Step 4: Simplify right side
    371.98x = 147,822.02
  5. Step 5: Solve for x
    x = 147,822.02/371.98
  6. Step 6: Final answer
    x = 397.39

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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.