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Finding the Fourth Proportional to 371.30, 511.89 and 312.98

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Solution

The fourth proportional to 371.30, 511.89 and 312.98 is: 431.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.30 : 511.89 = 312.98 : x
  2. Step 2: Convert to fraction form
    371.30/511.89 = 312.98/x
  3. Step 3: Cross multiply
    371.30x = 511.89 × 312.98
  4. Step 4: Simplify right side
    371.30x = 160,211.33
  5. Step 5: Solve for x
    x = 160,211.33/371.30
  6. Step 6: Final answer
    x = 431.49

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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.