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Finding the Fourth Proportional to 371, 511.71 and 238.30

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Solution

The fourth proportional to 371, 511.71 and 238.30 is: 328.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    371 : 511.71 = 238.30 : x
  2. Step 2: Convert to fraction form
    371/511.71 = 238.30/x
  3. Step 3: Cross multiply
    371x = 511.71 × 238.30
  4. Step 4: Simplify right side
    371x = 121,940.49
  5. Step 5: Solve for x
    x = 121,940.49/371
  6. Step 6: Final answer
    x = 328.68

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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.