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Finding the Fourth Proportional to 467.54, 645.20 and 257.70

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Solution

The fourth proportional to 467.54, 645.20 and 257.70 is: 355.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.54 : 645.20 = 257.70 : x
  2. Step 2: Convert to fraction form
    467.54/645.20 = 257.70/x
  3. Step 3: Cross multiply
    467.54x = 645.20 × 257.70
  4. Step 4: Simplify right side
    467.54x = 166,266.75
  5. Step 5: Solve for x
    x = 166,266.75/467.54
  6. Step 6: Final answer
    x = 355.62

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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.