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Finding the Fourth Proportional to 423.64, 584.68 and 257.89

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Solution

The fourth proportional to 423.64, 584.68 and 257.89 is: 355.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.64 : 584.68 = 257.89 : x
  2. Step 2: Convert to fraction form
    423.64/584.68 = 257.89/x
  3. Step 3: Cross multiply
    423.64x = 584.68 × 257.89
  4. Step 4: Simplify right side
    423.64x = 150,783.13
  5. Step 5: Solve for x
    x = 150,783.13/423.64
  6. Step 6: Final answer
    x = 355.92

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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.