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Finding the Fourth Proportional to 423.57, 584.36 and 257.65

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Solution

The fourth proportional to 423.57, 584.36 and 257.65 is: 355.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.57 : 584.36 = 257.65 : x
  2. Step 2: Convert to fraction form
    423.57/584.36 = 257.65/x
  3. Step 3: Cross multiply
    423.57x = 584.36 × 257.65
  4. Step 4: Simplify right side
    423.57x = 150,559.07
  5. Step 5: Solve for x
    x = 150,559.07/423.57
  6. Step 6: Final answer
    x = 355.45

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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.