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Finding the Fourth Proportional to 245.69, 366.48 and 219.77

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Solution

The fourth proportional to 245.69, 366.48 and 219.77 is: 327.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.69 : 366.48 = 219.77 : x
  2. Step 2: Convert to fraction form
    245.69/366.48 = 219.77/x
  3. Step 3: Cross multiply
    245.69x = 366.48 × 219.77
  4. Step 4: Simplify right side
    245.69x = 80,541.31
  5. Step 5: Solve for x
    x = 80,541.31/245.69
  6. Step 6: Final answer
    x = 327.82

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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.