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Finding the Fourth Proportional to 357.76, 493.73 and 280

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Solution

The fourth proportional to 357.76, 493.73 and 280 is: 386.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.76 : 493.73 = 280 : x
  2. Step 2: Convert to fraction form
    357.76/493.73 = 280/x
  3. Step 3: Cross multiply
    357.76x = 493.73 × 280
  4. Step 4: Simplify right side
    357.76x = 138,244.40
  5. Step 5: Solve for x
    x = 138,244.40/357.76
  6. Step 6: Final answer
    x = 386.42

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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.