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Finding the Fourth Proportional to 370.72, 511.60 and 213.35

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Solution

The fourth proportional to 370.72, 511.60 and 213.35 is: 294.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.72 : 511.60 = 213.35 : x
  2. Step 2: Convert to fraction form
    370.72/511.60 = 213.35/x
  3. Step 3: Cross multiply
    370.72x = 511.60 × 213.35
  4. Step 4: Simplify right side
    370.72x = 109,150.61
  5. Step 5: Solve for x
    x = 109,150.61/370.72
  6. Step 6: Final answer
    x = 294.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.