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Finding the Fourth Proportional to 371.12, 510.89 and 288.09

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Solution

The fourth proportional to 371.12, 510.89 and 288.09 is: 396.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.12 : 510.89 = 288.09 : x
  2. Step 2: Convert to fraction form
    371.12/510.89 = 288.09/x
  3. Step 3: Cross multiply
    371.12x = 510.89 × 288.09
  4. Step 4: Simplify right side
    371.12x = 147,180.86
  5. Step 5: Solve for x
    x = 147,180.86/371.12
  6. Step 6: Final answer
    x = 396.59

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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.