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Finding the Fourth Proportional to 414.28, 571.34 and 340.16

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Solution

The fourth proportional to 414.28, 571.34 and 340.16 is: 469.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.28 : 571.34 = 340.16 : x
  2. Step 2: Convert to fraction form
    414.28/571.34 = 340.16/x
  3. Step 3: Cross multiply
    414.28x = 571.34 × 340.16
  4. Step 4: Simplify right side
    414.28x = 194,345.31
  5. Step 5: Solve for x
    x = 194,345.31/414.28
  6. Step 6: Final answer
    x = 469.12

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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.