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Finding the Fourth Proportional to 371.70, 511.65 and 339.30

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Solution

The fourth proportional to 371.70, 511.65 and 339.30 is: 467.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.70 : 511.65 = 339.30 : x
  2. Step 2: Convert to fraction form
    371.70/511.65 = 339.30/x
  3. Step 3: Cross multiply
    371.70x = 511.65 × 339.30
  4. Step 4: Simplify right side
    371.70x = 173,602.85
  5. Step 5: Solve for x
    x = 173,602.85/371.70
  6. Step 6: Final answer
    x = 467.05

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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.