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Finding the Fourth Proportional to 443.59, 612.08 and 257.02

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Solution

The fourth proportional to 443.59, 612.08 and 257.02 is: 354.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.59 : 612.08 = 257.02 : x
  2. Step 2: Convert to fraction form
    443.59/612.08 = 257.02/x
  3. Step 3: Cross multiply
    443.59x = 612.08 × 257.02
  4. Step 4: Simplify right side
    443.59x = 157,316.80
  5. Step 5: Solve for x
    x = 157,316.80/443.59
  6. Step 6: Final answer
    x = 354.64

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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.