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Finding the Fourth Proportional to 423.45, 584.31 and 236.93

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Solution

The fourth proportional to 423.45, 584.31 and 236.93 is: 326.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.45 : 584.31 = 236.93 : x
  2. Step 2: Convert to fraction form
    423.45/584.31 = 236.93/x
  3. Step 3: Cross multiply
    423.45x = 584.31 × 236.93
  4. Step 4: Simplify right side
    423.45x = 138,437.65
  5. Step 5: Solve for x
    x = 138,437.65/423.45
  6. Step 6: Final answer
    x = 326.93

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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.