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Finding the Fourth Proportional to 488.58, 733.15 and 257.38

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Solution

The fourth proportional to 488.58, 733.15 and 257.38 is: 386.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.58 : 733.15 = 257.38 : x
  2. Step 2: Convert to fraction form
    488.58/733.15 = 257.38/x
  3. Step 3: Cross multiply
    488.58x = 733.15 × 257.38
  4. Step 4: Simplify right side
    488.58x = 188,696.64
  5. Step 5: Solve for x
    x = 188,696.64/488.58
  6. Step 6: Final answer
    x = 386.21

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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.