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Finding the Fourth Proportional to 414.30, 568.32 and 389.46

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Solution

The fourth proportional to 414.30, 568.32 and 389.46 is: 534.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.30 : 568.32 = 389.46 : x
  2. Step 2: Convert to fraction form
    414.30/568.32 = 389.46/x
  3. Step 3: Cross multiply
    414.30x = 568.32 × 389.46
  4. Step 4: Simplify right side
    414.30x = 221,337.91
  5. Step 5: Solve for x
    x = 221,337.91/414.30
  6. Step 6: Final answer
    x = 534.25

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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.