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Finding the Fourth Proportional to 443.67, 612.40 and 257.21

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Solution

The fourth proportional to 443.67, 612.40 and 257.21 is: 355.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.67 : 612.40 = 257.21 : x
  2. Step 2: Convert to fraction form
    443.67/612.40 = 257.21/x
  3. Step 3: Cross multiply
    443.67x = 612.40 × 257.21
  4. Step 4: Simplify right side
    443.67x = 157,512.34
  5. Step 5: Solve for x
    x = 157,512.34/443.67
  6. Step 6: Final answer
    x = 355.02

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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.