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Finding the Fourth Proportional to 414.40, 571.08 and 283.18

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Solution

The fourth proportional to 414.40, 571.08 and 283.18 is: 390.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.40 : 571.08 = 283.18 : x
  2. Step 2: Convert to fraction form
    414.40/571.08 = 283.18/x
  3. Step 3: Cross multiply
    414.40x = 571.08 × 283.18
  4. Step 4: Simplify right side
    414.40x = 161,718.43
  5. Step 5: Solve for x
    x = 161,718.43/414.40
  6. Step 6: Final answer
    x = 390.25

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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.