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Finding the Fourth Proportional to 370.86, 511.97 and 231.02

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Solution

The fourth proportional to 370.86, 511.97 and 231.02 is: 318.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.86 : 511.97 = 231.02 : x
  2. Step 2: Convert to fraction form
    370.86/511.97 = 231.02/x
  3. Step 3: Cross multiply
    370.86x = 511.97 × 231.02
  4. Step 4: Simplify right side
    370.86x = 118,274.15
  5. Step 5: Solve for x
    x = 118,274.15/370.86
  6. Step 6: Final answer
    x = 318.92

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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.