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Finding the Fourth Proportional to 370.93, 511.89 and 213.61

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Solution

The fourth proportional to 370.93, 511.89 and 213.61 is: 294.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.93 : 511.89 = 213.61 : x
  2. Step 2: Convert to fraction form
    370.93/511.89 = 213.61/x
  3. Step 3: Cross multiply
    370.93x = 511.89 × 213.61
  4. Step 4: Simplify right side
    370.93x = 109,346.94
  5. Step 5: Solve for x
    x = 109,346.94/370.93
  6. Step 6: Final answer
    x = 294.79

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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.