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Finding the Fourth Proportional to 414.29, 568.32 and 389.45

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Solution

The fourth proportional to 414.29, 568.32 and 389.45 is: 534.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.29 : 568.32 = 389.45 : x
  2. Step 2: Convert to fraction form
    414.29/568.32 = 389.45/x
  3. Step 3: Cross multiply
    414.29x = 568.32 × 389.45
  4. Step 4: Simplify right side
    414.29x = 221,332.22
  5. Step 5: Solve for x
    x = 221,332.22/414.29
  6. Step 6: Final answer
    x = 534.24

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.