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Finding the Fourth Proportional to 443.50, 612.12 and 257.03

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Solution

The fourth proportional to 443.50, 612.12 and 257.03 is: 354.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.50 : 612.12 = 257.03 : x
  2. Step 2: Convert to fraction form
    443.50/612.12 = 257.03/x
  3. Step 3: Cross multiply
    443.50x = 612.12 × 257.03
  4. Step 4: Simplify right side
    443.50x = 157,332.56
  5. Step 5: Solve for x
    x = 157,332.56/443.50
  6. Step 6: Final answer
    x = 354.75

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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.