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Finding the Fourth Proportional to 488.39, 732.97 and 257.42

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Solution

The fourth proportional to 488.39, 732.97 and 257.42 is: 386.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.39 : 732.97 = 257.42 : x
  2. Step 2: Convert to fraction form
    488.39/732.97 = 257.42/x
  3. Step 3: Cross multiply
    488.39x = 732.97 × 257.42
  4. Step 4: Simplify right side
    488.39x = 188,676.19
  5. Step 5: Solve for x
    x = 188,676.19/488.39
  6. Step 6: Final answer
    x = 386.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.