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Finding the Fourth Proportional to 443.42, 612.02 and 257.02

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Solution

The fourth proportional to 443.42, 612.02 and 257.02 is: 354.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.42 : 612.02 = 257.02 : x
  2. Step 2: Convert to fraction form
    443.42/612.02 = 257.02/x
  3. Step 3: Cross multiply
    443.42x = 612.02 × 257.02
  4. Step 4: Simplify right side
    443.42x = 157,298.57
  5. Step 5: Solve for x
    x = 157,298.57/443.42
  6. Step 6: Final answer
    x = 354.74

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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.