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Finding the Fourth Proportional to 245.72, 366.82 and 213.32

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Solution

The fourth proportional to 245.72, 366.82 and 213.32 is: 318.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.72 : 366.82 = 213.32 : x
  2. Step 2: Convert to fraction form
    245.72/366.82 = 213.32/x
  3. Step 3: Cross multiply
    245.72x = 366.82 × 213.32
  4. Step 4: Simplify right side
    245.72x = 78,250.04
  5. Step 5: Solve for x
    x = 78,250.04/245.72
  6. Step 6: Final answer
    x = 318.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.