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Finding the Fourth Proportional to 341.28, 471.02 and 216.90

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Solution

The fourth proportional to 341.28, 471.02 and 216.90 is: 299.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.28 : 471.02 = 216.90 : x
  2. Step 2: Convert to fraction form
    341.28/471.02 = 216.90/x
  3. Step 3: Cross multiply
    341.28x = 471.02 × 216.90
  4. Step 4: Simplify right side
    341.28x = 102,163.15
  5. Step 5: Solve for x
    x = 102,163.15/341.28
  6. Step 6: Final answer
    x = 299.35

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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.