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Finding the Fourth Proportional to 275.77, 380.10 and 216.67

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Solution

The fourth proportional to 275.77, 380.10 and 216.67 is: 298.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.77 : 380.10 = 216.67 : x
  2. Step 2: Convert to fraction form
    275.77/380.10 = 216.67/x
  3. Step 3: Cross multiply
    275.77x = 380.10 × 216.67
  4. Step 4: Simplify right side
    275.77x = 82,356.27
  5. Step 5: Solve for x
    x = 82,356.27/275.77
  6. Step 6: Final answer
    x = 298.64

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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.