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Finding the Fourth Proportional to 399.92, 552.16 and 306.50

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Solution

The fourth proportional to 399.92, 552.16 and 306.50 is: 423.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.92 : 552.16 = 306.50 : x
  2. Step 2: Convert to fraction form
    399.92/552.16 = 306.50/x
  3. Step 3: Cross multiply
    399.92x = 552.16 × 306.50
  4. Step 4: Simplify right side
    399.92x = 169,237.04
  5. Step 5: Solve for x
    x = 169,237.04/399.92
  6. Step 6: Final answer
    x = 423.18

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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.