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Finding the Fourth Proportional to 371, 511.82 and 231.16

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Solution

The fourth proportional to 371, 511.82 and 231.16 is: 318.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    371 : 511.82 = 231.16 : x
  2. Step 2: Convert to fraction form
    371/511.82 = 231.16/x
  3. Step 3: Cross multiply
    371x = 511.82 × 231.16
  4. Step 4: Simplify right side
    371x = 118,312.31
  5. Step 5: Solve for x
    x = 118,312.31/371
  6. Step 6: Final answer
    x = 318.90

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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.