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Finding the Fourth Proportional to 341.28, 471.05 and 310.14

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Solution

The fourth proportional to 341.28, 471.05 and 310.14 is: 428.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.28 : 471.05 = 310.14 : x
  2. Step 2: Convert to fraction form
    341.28/471.05 = 310.14/x
  3. Step 3: Cross multiply
    341.28x = 471.05 × 310.14
  4. Step 4: Simplify right side
    341.28x = 146,091.45
  5. Step 5: Solve for x
    x = 146,091.45/341.28
  6. Step 6: Final answer
    x = 428.07

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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.