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Finding the Fourth Proportional to 423.20, 583.99 and 236.65

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Solution

The fourth proportional to 423.20, 583.99 and 236.65 is: 326.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.20 : 583.99 = 236.65 : x
  2. Step 2: Convert to fraction form
    423.20/583.99 = 236.65/x
  3. Step 3: Cross multiply
    423.20x = 583.99 × 236.65
  4. Step 4: Simplify right side
    423.20x = 138,197.13
  5. Step 5: Solve for x
    x = 138,197.13/423.20
  6. Step 6: Final answer
    x = 326.56

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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.