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Finding the Fourth Proportional to 425.19, 585.92 and 306.96

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Solution

The fourth proportional to 425.19, 585.92 and 306.96 is: 422.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.19 : 585.92 = 306.96 : x
  2. Step 2: Convert to fraction form
    425.19/585.92 = 306.96/x
  3. Step 3: Cross multiply
    425.19x = 585.92 × 306.96
  4. Step 4: Simplify right side
    425.19x = 179,853.27
  5. Step 5: Solve for x
    x = 179,853.27/425.19
  6. Step 6: Final answer
    x = 422.99

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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.