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Finding the Fourth Proportional to 341.21, 471.02 and 231.05

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Solution

The fourth proportional to 341.21, 471.02 and 231.05 is: 318.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.21 : 471.02 = 231.05 : x
  2. Step 2: Convert to fraction form
    341.21/471.02 = 231.05/x
  3. Step 3: Cross multiply
    341.21x = 471.02 × 231.05
  4. Step 4: Simplify right side
    341.21x = 108,829.19
  5. Step 5: Solve for x
    x = 108,829.19/341.21
  6. Step 6: Final answer
    x = 318.95

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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.