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Finding the Fourth Proportional to 423.20, 584 and 257.64

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Solution

The fourth proportional to 423.20, 584 and 257.64 is: 355.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.20 : 584 = 257.64 : x
  2. Step 2: Convert to fraction form
    423.20/584 = 257.64/x
  3. Step 3: Cross multiply
    423.20x = 584 × 257.64
  4. Step 4: Simplify right side
    423.20x = 150,461.76
  5. Step 5: Solve for x
    x = 150,461.76/423.20
  6. Step 6: Final answer
    x = 355.53

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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.