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Finding the Fourth Proportional to 370.46, 511.21 and 213.08

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Solution

The fourth proportional to 370.46, 511.21 and 213.08 is: 294.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.46 : 511.21 = 213.08 : x
  2. Step 2: Convert to fraction form
    370.46/511.21 = 213.08/x
  3. Step 3: Cross multiply
    370.46x = 511.21 × 213.08
  4. Step 4: Simplify right side
    370.46x = 108,928.63
  5. Step 5: Solve for x
    x = 108,928.63/370.46
  6. Step 6: Final answer
    x = 294.04

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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.