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Finding the Fourth Proportional to 488.40, 732.82 and 257.28

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Solution

The fourth proportional to 488.40, 732.82 and 257.28 is: 386.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.40 : 732.82 = 257.28 : x
  2. Step 2: Convert to fraction form
    488.40/732.82 = 257.28/x
  3. Step 3: Cross multiply
    488.40x = 732.82 × 257.28
  4. Step 4: Simplify right side
    488.40x = 188,539.93
  5. Step 5: Solve for x
    x = 188,539.93/488.40
  6. Step 6: Final answer
    x = 386.04

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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.