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Finding the Fourth Proportional to 423.32, 584.48 and 318.65

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Solution

The fourth proportional to 423.32, 584.48 and 318.65 is: 439.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.32 : 584.48 = 318.65 : x
  2. Step 2: Convert to fraction form
    423.32/584.48 = 318.65/x
  3. Step 3: Cross multiply
    423.32x = 584.48 × 318.65
  4. Step 4: Simplify right side
    423.32x = 186,242.43
  5. Step 5: Solve for x
    x = 186,242.43/423.32
  6. Step 6: Final answer
    x = 439.96

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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.