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Finding the Fourth Proportional to 357.34, 493.12 and 202.09

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Solution

The fourth proportional to 357.34, 493.12 and 202.09 is: 278.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.34 : 493.12 = 202.09 : x
  2. Step 2: Convert to fraction form
    357.34/493.12 = 202.09/x
  3. Step 3: Cross multiply
    357.34x = 493.12 × 202.09
  4. Step 4: Simplify right side
    357.34x = 99,652.88
  5. Step 5: Solve for x
    x = 99,652.88/357.34
  6. Step 6: Final answer
    x = 278.88

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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.