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Finding the Fourth Proportional to 370.75, 511.64 and 231.13

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Solution

The fourth proportional to 370.75, 511.64 and 231.13 is: 318.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.75 : 511.64 = 231.13 : x
  2. Step 2: Convert to fraction form
    370.75/511.64 = 231.13/x
  3. Step 3: Cross multiply
    370.75x = 511.64 × 231.13
  4. Step 4: Simplify right side
    370.75x = 118,255.35
  5. Step 5: Solve for x
    x = 118,255.35/370.75
  6. Step 6: Final answer
    x = 318.96

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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.