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Finding the Fourth Proportional to 400.58, 552.67 and 234.79

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Solution

The fourth proportional to 400.58, 552.67 and 234.79 is: 323.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.58 : 552.67 = 234.79 : x
  2. Step 2: Convert to fraction form
    400.58/552.67 = 234.79/x
  3. Step 3: Cross multiply
    400.58x = 552.67 × 234.79
  4. Step 4: Simplify right side
    400.58x = 129,758.63
  5. Step 5: Solve for x
    x = 129,758.63/400.58
  6. Step 6: Final answer
    x = 323.93

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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.