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Finding the Fourth Proportional to 370.96, 511.80 and 230.92

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Solution

The fourth proportional to 370.96, 511.80 and 230.92 is: 318.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.96 : 511.80 = 230.92 : x
  2. Step 2: Convert to fraction form
    370.96/511.80 = 230.92/x
  3. Step 3: Cross multiply
    370.96x = 511.80 × 230.92
  4. Step 4: Simplify right side
    370.96x = 118,184.86
  5. Step 5: Solve for x
    x = 118,184.86/370.96
  6. Step 6: Final answer
    x = 318.59

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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.