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Finding the Fourth Proportional to 423.40, 584.20 and 257.58

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Solution

The fourth proportional to 423.40, 584.20 and 257.58 is: 355.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.40 : 584.20 = 257.58 : x
  2. Step 2: Convert to fraction form
    423.40/584.20 = 257.58/x
  3. Step 3: Cross multiply
    423.40x = 584.20 × 257.58
  4. Step 4: Simplify right side
    423.40x = 150,478.24
  5. Step 5: Solve for x
    x = 150,478.24/423.40
  6. Step 6: Final answer
    x = 355.40

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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.