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Finding the Fourth Proportional to 400.64, 601.92 and 229.76

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Solution

The fourth proportional to 400.64, 601.92 and 229.76 is: 345.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.64 : 601.92 = 229.76 : x
  2. Step 2: Convert to fraction form
    400.64/601.92 = 229.76/x
  3. Step 3: Cross multiply
    400.64x = 601.92 × 229.76
  4. Step 4: Simplify right side
    400.64x = 138,297.14
  5. Step 5: Solve for x
    x = 138,297.14/400.64
  6. Step 6: Final answer
    x = 345.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.